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Finding the Fourth Proportional to 463,464.10, 695,196.15 and 197,233.30

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Solution

The fourth proportional to 463,464.10, 695,196.15 and 197,233.30 is: 295,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,464.10 : 695,196.15 = 197,233.30 : x
  2. Step 2: Convert to fraction form
    463,464.10/695,196.15 = 197,233.30/x
  3. Step 3: Cross multiply
    463,464.10x = 695,196.15 × 197,233.30
  4. Step 4: Simplify right side
    463,464.10x = 137,115,830,811.80
  5. Step 5: Solve for x
    x = 137,115,830,811.80/463,464.10
  6. Step 6: Final answer
    x = 295,849.95

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.