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Finding the Fourth Proportional to 423,854.73, 635,160 and 213,202.89

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Solution

The fourth proportional to 423,854.73, 635,160 and 213,202.89 is: 319,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,854.73 : 635,160 = 213,202.89 : x
  2. Step 2: Convert to fraction form
    423,854.73/635,160 = 213,202.89/x
  3. Step 3: Cross multiply
    423,854.73x = 635,160 × 213,202.89
  4. Step 4: Simplify right side
    423,854.73x = 135,417,947,612.40
  5. Step 5: Solve for x
    x = 135,417,947,612.40/423,854.73
  6. Step 6: Final answer
    x = 319,491.42

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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.