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Finding the Fourth Proportional to 517,082.30, 775,623.45 and 377,114.30

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Solution

The fourth proportional to 517,082.30, 775,623.45 and 377,114.30 is: 565,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,082.30 : 775,623.45 = 377,114.30 : x
  2. Step 2: Convert to fraction form
    517,082.30/775,623.45 = 377,114.30/x
  3. Step 3: Cross multiply
    517,082.30x = 775,623.45 × 377,114.30
  4. Step 4: Simplify right side
    517,082.30x = 292,498,694,410.34
  5. Step 5: Solve for x
    x = 292,498,694,410.34/517,082.30
  6. Step 6: Final answer
    x = 565,671.45

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Double scale
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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.