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Finding the Fourth Proportional to 461,530.12, 692,412.10 and 141,698.32

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Solution

The fourth proportional to 461,530.12, 692,412.10 and 141,698.32 is: 212,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,530.12 : 692,412.10 = 141,698.32 : x
  2. Step 2: Convert to fraction form
    461,530.12/692,412.10 = 141,698.32/x
  3. Step 3: Cross multiply
    461,530.12x = 692,412.10 × 141,698.32
  4. Step 4: Simplify right side
    461,530.12x = 98,113,631,317.67
  5. Step 5: Solve for x
    x = 98,113,631,317.67/461,530.12
  6. Step 6: Final answer
    x = 212,583.38

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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.