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Finding the Fourth Proportional to 456,114.30, 684,171.45 and 437,451.90

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Solution

The fourth proportional to 456,114.30, 684,171.45 and 437,451.90 is: 656,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,114.30 : 684,171.45 = 437,451.90 : x
  2. Step 2: Convert to fraction form
    456,114.30/684,171.45 = 437,451.90/x
  3. Step 3: Cross multiply
    456,114.30x = 684,171.45 × 437,451.90
  4. Step 4: Simplify right side
    456,114.30x = 299,292,100,728.26
  5. Step 5: Solve for x
    x = 299,292,100,728.26/456,114.30
  6. Step 6: Final answer
    x = 656,177.85

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Similar ratio
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1.5x scale

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.