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Finding the Fourth Proportional to 456,292.70, 684,503.85 and 156,787.10

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Solution

The fourth proportional to 456,292.70, 684,503.85 and 156,787.10 is: 235,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,292.70 : 684,503.85 = 156,787.10 : x
  2. Step 2: Convert to fraction form
    456,292.70/684,503.85 = 156,787.10/x
  3. Step 3: Cross multiply
    456,292.70x = 684,503.85 × 156,787.10
  4. Step 4: Simplify right side
    456,292.70x = 107,321,373,580.34
  5. Step 5: Solve for x
    x = 107,321,373,580.34/456,292.70
  6. Step 6: Final answer
    x = 235,202.92

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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.