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Finding the Fourth Proportional to 567,214.74, 782,761.62 and 312,575.04

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Solution

The fourth proportional to 567,214.74, 782,761.62 and 312,575.04 is: 431,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,214.74 : 782,761.62 = 312,575.04 : x
  2. Step 2: Convert to fraction form
    567,214.74/782,761.62 = 312,575.04/x
  3. Step 3: Cross multiply
    567,214.74x = 782,761.62 × 312,575.04
  4. Step 4: Simplify right side
    567,214.74x = 244,671,744,681.97
  5. Step 5: Solve for x
    x = 244,671,744,681.97/567,214.74
  6. Step 6: Final answer
    x = 431,356.46

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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.