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Finding the Fourth Proportional to 410,082.40, 615,123.60 and 343,727.20

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Solution

The fourth proportional to 410,082.40, 615,123.60 and 343,727.20 is: 515,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,082.40 : 615,123.60 = 343,727.20 : x
  2. Step 2: Convert to fraction form
    410,082.40/615,123.60 = 343,727.20/x
  3. Step 3: Cross multiply
    410,082.40x = 615,123.60 × 343,727.20
  4. Step 4: Simplify right side
    410,082.40x = 211,434,712,681.92
  5. Step 5: Solve for x
    x = 211,434,712,681.92/410,082.40
  6. Step 6: Final answer
    x = 515,590.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.