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Finding the Fourth Proportional to 542,006.39, 747,948.96 and 312,573.35

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Solution

The fourth proportional to 542,006.39, 747,948.96 and 312,573.35 is: 431,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,006.39 : 747,948.96 = 312,573.35 : x
  2. Step 2: Convert to fraction form
    542,006.39/747,948.96 = 312,573.35/x
  3. Step 3: Cross multiply
    542,006.39x = 747,948.96 × 312,573.35
  4. Step 4: Simplify right side
    542,006.39x = 233,788,912,056.22
  5. Step 5: Solve for x
    x = 233,788,912,056.22/542,006.39
  6. Step 6: Final answer
    x = 431,339.77

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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.