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Finding the Fourth Proportional to 564,792.98, 847,451.54 and 209,930.18

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Solution

The fourth proportional to 564,792.98, 847,451.54 and 209,930.18 is: 314,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,792.98 : 847,451.54 = 209,930.18 : x
  2. Step 2: Convert to fraction form
    564,792.98/847,451.54 = 209,930.18/x
  3. Step 3: Cross multiply
    564,792.98x = 847,451.54 × 209,930.18
  4. Step 4: Simplify right side
    564,792.98x = 177,905,650,621.05
  5. Step 5: Solve for x
    x = 177,905,650,621.05/564,792.98
  6. Step 6: Final answer
    x = 314,992.68

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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.