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Finding the Fourth Proportional to 642,979.74, 886,905.38 and 413,142.01

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Solution

The fourth proportional to 642,979.74, 886,905.38 and 413,142.01 is: 569,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,979.74 : 886,905.38 = 413,142.01 : x
  2. Step 2: Convert to fraction form
    642,979.74/886,905.38 = 413,142.01/x
  3. Step 3: Cross multiply
    642,979.74x = 886,905.38 × 413,142.01
  4. Step 4: Simplify right side
    642,979.74x = 366,417,871,373.01
  5. Step 5: Solve for x
    x = 366,417,871,373.01/642,979.74
  6. Step 6: Final answer
    x = 569,874.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.