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Finding the Fourth Proportional to 468,084.36, 702,155.70 and 187,565.16

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Solution

The fourth proportional to 468,084.36, 702,155.70 and 187,565.16 is: 281,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,084.36 : 702,155.70 = 187,565.16 : x
  2. Step 2: Convert to fraction form
    468,084.36/702,155.70 = 187,565.16/x
  3. Step 3: Cross multiply
    468,084.36x = 702,155.70 × 187,565.16
  4. Step 4: Simplify right side
    468,084.36x = 131,699,946,215.41
  5. Step 5: Solve for x
    x = 131,699,946,215.41/468,084.36
  6. Step 6: Final answer
    x = 281,359.42

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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.