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Finding the Fourth Proportional to 508,295.34, 701,531.73 and 282,013.74

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Solution

The fourth proportional to 508,295.34, 701,531.73 and 282,013.74 is: 389,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,295.34 : 701,531.73 = 282,013.74 : x
  2. Step 2: Convert to fraction form
    508,295.34/701,531.73 = 282,013.74/x
  3. Step 3: Cross multiply
    508,295.34x = 701,531.73 × 282,013.74
  4. Step 4: Simplify right side
    508,295.34x = 197,841,586,905.97
  5. Step 5: Solve for x
    x = 197,841,586,905.97/508,295.34
  6. Step 6: Final answer
    x = 389,225.66

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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.