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Finding the Fourth Proportional to 463,425.80, 695,138.70 and 413,562.20

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Solution

The fourth proportional to 463,425.80, 695,138.70 and 413,562.20 is: 620,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,425.80 : 695,138.70 = 413,562.20 : x
  2. Step 2: Convert to fraction form
    463,425.80/695,138.70 = 413,562.20/x
  3. Step 3: Cross multiply
    463,425.80x = 695,138.70 × 413,562.20
  4. Step 4: Simplify right side
    463,425.80x = 287,483,090,077.14
  5. Step 5: Solve for x
    x = 287,483,090,077.14/463,425.80
  6. Step 6: Final answer
    x = 620,343.30

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Similar ratio
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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.