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Finding the Fourth Proportional to 538,042.38, 742,532.04 and 296,324.88

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Solution

The fourth proportional to 538,042.38, 742,532.04 and 296,324.88 is: 408,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,042.38 : 742,532.04 = 296,324.88 : x
  2. Step 2: Convert to fraction form
    538,042.38/742,532.04 = 296,324.88/x
  3. Step 3: Cross multiply
    538,042.38x = 742,532.04 × 296,324.88
  4. Step 4: Simplify right side
    538,042.38x = 220,030,717,649.16
  5. Step 5: Solve for x
    x = 220,030,717,649.16/538,042.38
  6. Step 6: Final answer
    x = 408,946.82

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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.