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Finding the Fourth Proportional to 566,897.29, 782,318.19 and 312,248.48

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Solution

The fourth proportional to 566,897.29, 782,318.19 and 312,248.48 is: 430,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,897.29 : 782,318.19 = 312,248.48 : x
  2. Step 2: Convert to fraction form
    566,897.29/782,318.19 = 312,248.48/x
  3. Step 3: Cross multiply
    566,897.29x = 782,318.19 × 312,248.48
  4. Step 4: Simplify right side
    566,897.29x = 244,277,665,703.85
  5. Step 5: Solve for x
    x = 244,277,665,703.85/566,897.29
  6. Step 6: Final answer
    x = 430,902.86

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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.