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Finding the Fourth Proportional to 456,114.70, 684,317.85 and 156,787.30

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Solution

The fourth proportional to 456,114.70, 684,317.85 and 156,787.30 is: 235,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,114.70 : 684,317.85 = 156,787.30 : x
  2. Step 2: Convert to fraction form
    456,114.70/684,317.85 = 156,787.30/x
  3. Step 3: Cross multiply
    456,114.70x = 684,317.85 × 156,787.30
  4. Step 4: Simplify right side
    456,114.70x = 107,292,348,043.31
  5. Step 5: Solve for x
    x = 107,292,348,043.31/456,114.70
  6. Step 6: Final answer
    x = 235,231.07

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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.