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Finding the Fourth Proportional to 542,549.38, 748,681.50 and 313,116.25

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Solution

The fourth proportional to 542,549.38, 748,681.50 and 313,116.25 is: 432,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,549.38 : 748,681.50 = 313,116.25 : x
  2. Step 2: Convert to fraction form
    542,549.38/748,681.50 = 313,116.25/x
  3. Step 3: Cross multiply
    542,549.38x = 748,681.50 × 313,116.25
  4. Step 4: Simplify right side
    542,549.38x = 234,424,343,724.38
  5. Step 5: Solve for x
    x = 234,424,343,724.38/542,549.38
  6. Step 6: Final answer
    x = 432,079.28

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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.