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Finding the Fourth Proportional to 463,503.60, 695,255.40 and 197,272.80

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Solution

The fourth proportional to 463,503.60, 695,255.40 and 197,272.80 is: 295,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,503.60 : 695,255.40 = 197,272.80 : x
  2. Step 2: Convert to fraction form
    463,503.60/695,255.40 = 197,272.80/x
  3. Step 3: Cross multiply
    463,503.60x = 695,255.40 × 197,272.80
  4. Step 4: Simplify right side
    463,503.60x = 137,154,979,473.12
  5. Step 5: Solve for x
    x = 137,154,979,473.12/463,503.60
  6. Step 6: Final answer
    x = 295,909.20

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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.