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Finding the Fourth Proportional to 497,251.70, 745,877.55 and 308,294.90

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Solution

The fourth proportional to 497,251.70, 745,877.55 and 308,294.90 is: 462,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,251.70 : 745,877.55 = 308,294.90 : x
  2. Step 2: Convert to fraction form
    497,251.70/745,877.55 = 308,294.90/x
  3. Step 3: Cross multiply
    497,251.70x = 745,877.55 × 308,294.90
  4. Step 4: Simplify right side
    497,251.70x = 229,950,244,689.50
  5. Step 5: Solve for x
    x = 229,950,244,689.50/497,251.70
  6. Step 6: Final answer
    x = 462,442.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.