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Finding the Fourth Proportional to 564,948.67, 847,448.61 and 160,169.89

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Solution

The fourth proportional to 564,948.67, 847,448.61 and 160,169.89 is: 240,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,948.67 : 847,448.61 = 160,169.89 : x
  2. Step 2: Convert to fraction form
    564,948.67/847,448.61 = 160,169.89/x
  3. Step 3: Cross multiply
    564,948.67x = 847,448.61 × 160,169.89
  4. Step 4: Simplify right side
    564,948.67x = 135,735,750,644.35
  5. Step 5: Solve for x
    x = 135,735,750,644.35/564,948.67
  6. Step 6: Final answer
    x = 240,262.09

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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.