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Finding the Fourth Proportional to 567,092.68, 782,587.54 and 312,443.86

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Solution

The fourth proportional to 567,092.68, 782,587.54 and 312,443.86 is: 431,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,092.68 : 782,587.54 = 312,443.86 : x
  2. Step 2: Convert to fraction form
    567,092.68/782,587.54 = 312,443.86/x
  3. Step 3: Cross multiply
    567,092.68x = 782,587.54 × 312,443.86
  4. Step 4: Simplify right side
    567,092.68x = 244,514,670,223.29
  5. Step 5: Solve for x
    x = 244,514,670,223.29/567,092.68
  6. Step 6: Final answer
    x = 431,172.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.