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Finding the Fourth Proportional to 564,292.32, 846,487.68 and 185,099.31

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Solution

The fourth proportional to 564,292.32, 846,487.68 and 185,099.31 is: 277,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,292.32 : 846,487.68 = 185,099.31 : x
  2. Step 2: Convert to fraction form
    564,292.32/846,487.68 = 185,099.31/x
  3. Step 3: Cross multiply
    564,292.32x = 846,487.68 × 185,099.31
  4. Step 4: Simplify right side
    564,292.32x = 156,684,285,491.50
  5. Step 5: Solve for x
    x = 156,684,285,491.50/564,292.32
  6. Step 6: Final answer
    x = 277,665.10

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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.