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Finding the Fourth Proportional to 437,305.01, 656,010.06 and 413,390.16

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Solution

The fourth proportional to 437,305.01, 656,010.06 and 413,390.16 is: 620,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,305.01 : 656,010.06 = 413,390.16 : x
  2. Step 2: Convert to fraction form
    437,305.01/656,010.06 = 413,390.16/x
  3. Step 3: Cross multiply
    437,305.01x = 656,010.06 × 413,390.16
  4. Step 4: Simplify right side
    437,305.01x = 271,188,103,665.01
  5. Step 5: Solve for x
    x = 271,188,103,665.01/437,305.01
  6. Step 6: Final answer
    x = 620,134.91

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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.