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Finding the Fourth Proportional to 278,082.40, 417,123.60 and 208,098.40

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Solution

The fourth proportional to 278,082.40, 417,123.60 and 208,098.40 is: 312,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,082.40 : 417,123.60 = 208,098.40 : x
  2. Step 2: Convert to fraction form
    278,082.40/417,123.60 = 208,098.40/x
  3. Step 3: Cross multiply
    278,082.40x = 417,123.60 × 208,098.40
  4. Step 4: Simplify right side
    278,082.40x = 86,802,753,762.24
  5. Step 5: Solve for x
    x = 86,802,753,762.24/278,082.40
  6. Step 6: Final answer
    x = 312,147.60

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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.