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Finding the Fourth Proportional to 534,725, 737,920.50 and 319,874.12

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Solution

The fourth proportional to 534,725, 737,920.50 and 319,874.12 is: 441,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,725 : 737,920.50 = 319,874.12 : x
  2. Step 2: Convert to fraction form
    534,725/737,920.50 = 319,874.12/x
  3. Step 3: Cross multiply
    534,725x = 737,920.50 × 319,874.12
  4. Step 4: Simplify right side
    534,725x = 236,041,670,567.46
  5. Step 5: Solve for x
    x = 236,041,670,567.46/534,725
  6. Step 6: Final answer
    x = 441,426.29

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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.