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Finding the Fourth Proportional to 538,061.80, 742,516.12 and 296,367

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Solution

The fourth proportional to 538,061.80, 742,516.12 and 296,367 is: 408,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,061.80 : 742,516.12 = 296,367 : x
  2. Step 2: Convert to fraction form
    538,061.80/742,516.12 = 296,367/x
  3. Step 3: Cross multiply
    538,061.80x = 742,516.12 × 296,367
  4. Step 4: Simplify right side
    538,061.80x = 220,057,274,936.04
  5. Step 5: Solve for x
    x = 220,057,274,936.04/538,061.80
  6. Step 6: Final answer
    x = 408,981.41

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