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Finding the Fourth Proportional to 478,082.28, 716,956.28 and 141,033.44

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Solution

The fourth proportional to 478,082.28, 716,956.28 and 141,033.44 is: 211,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,082.28 : 716,956.28 = 141,033.44 : x
  2. Step 2: Convert to fraction form
    478,082.28/716,956.28 = 141,033.44/x
  3. Step 3: Cross multiply
    478,082.28x = 716,956.28 × 141,033.44
  4. Step 4: Simplify right side
    478,082.28x = 101,114,810,498.00
  5. Step 5: Solve for x
    x = 101,114,810,498.00/478,082.28
  6. Step 6: Final answer
    x = 211,500.85

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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.