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Finding the Fourth Proportional to 417,800.16, 576,655.20 and 256,739.76

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Solution

The fourth proportional to 417,800.16, 576,655.20 and 256,739.76 is: 354,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,800.16 : 576,655.20 = 256,739.76 : x
  2. Step 2: Convert to fraction form
    417,800.16/576,655.20 = 256,739.76/x
  3. Step 3: Cross multiply
    417,800.16x = 576,655.20 × 256,739.76
  4. Step 4: Simplify right side
    417,800.16x = 148,050,317,650.75
  5. Step 5: Solve for x
    x = 148,050,317,650.75/417,800.16
  6. Step 6: Final answer
    x = 354,356.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.