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Finding the Fourth Proportional to 520,082.20, 780,123.30 and 204,549.40

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Solution

The fourth proportional to 520,082.20, 780,123.30 and 204,549.40 is: 306,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,082.20 : 780,123.30 = 204,549.40 : x
  2. Step 2: Convert to fraction form
    520,082.20/780,123.30 = 204,549.40/x
  3. Step 3: Cross multiply
    520,082.20x = 780,123.30 × 204,549.40
  4. Step 4: Simplify right side
    520,082.20x = 159,573,752,941.02
  5. Step 5: Solve for x
    x = 159,573,752,941.02/520,082.20
  6. Step 6: Final answer
    x = 306,824.10

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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.