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Finding the Fourth Proportional to 542,474.34, 748,603.04 and 313,013.62

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Solution

The fourth proportional to 542,474.34, 748,603.04 and 313,013.62 is: 431,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,474.34 : 748,603.04 = 313,013.62 : x
  2. Step 2: Convert to fraction form
    542,474.34/748,603.04 = 313,013.62/x
  3. Step 3: Cross multiply
    542,474.34x = 748,603.04 × 313,013.62
  4. Step 4: Simplify right side
    542,474.34x = 234,322,943,533.55
  5. Step 5: Solve for x
    x = 234,322,943,533.55/542,474.34
  6. Step 6: Final answer
    x = 431,952.13

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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.