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Finding the Fourth Proportional to 508,294.84, 701,531.04 and 282,013.24

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Solution

The fourth proportional to 508,294.84, 701,531.04 and 282,013.24 is: 389,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,294.84 : 701,531.04 = 282,013.24 : x
  2. Step 2: Convert to fraction form
    508,294.84/701,531.04 = 282,013.24/x
  3. Step 3: Cross multiply
    508,294.84x = 701,531.04 × 282,013.24
  4. Step 4: Simplify right side
    508,294.84x = 197,841,041,550.97
  5. Step 5: Solve for x
    x = 197,841,041,550.97/508,294.84
  6. Step 6: Final answer
    x = 389,224.97

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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.