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Finding the Fourth Proportional to 378,277.60, 566,638.80 and 260,082.40

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Solution

The fourth proportional to 378,277.60, 566,638.80 and 260,082.40 is: 389,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,277.60 : 566,638.80 = 260,082.40 : x
  2. Step 2: Convert to fraction form
    378,277.60/566,638.80 = 260,082.40/x
  3. Step 3: Cross multiply
    378,277.60x = 566,638.80 × 260,082.40
  4. Step 4: Simplify right side
    378,277.60x = 147,372,779,037.12
  5. Step 5: Solve for x
    x = 147,372,779,037.12/378,277.60
  6. Step 6: Final answer
    x = 389,588.97

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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.