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Finding the Fourth Proportional to 576,082.10, 864,123.15 and 520,094.90

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Solution

The fourth proportional to 576,082.10, 864,123.15 and 520,094.90 is: 780,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,082.10 : 864,123.15 = 520,094.90 : x
  2. Step 2: Convert to fraction form
    576,082.10/864,123.15 = 520,094.90/x
  3. Step 3: Cross multiply
    576,082.10x = 864,123.15 × 520,094.90
  4. Step 4: Simplify right side
    576,082.10x = 449,426,043,286.94
  5. Step 5: Solve for x
    x = 449,426,043,286.94/576,082.10
  6. Step 6: Final answer
    x = 780,142.35

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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.