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Finding the Fourth Proportional to 409,499.98, 565,458.24 and 256,793.92

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Solution

The fourth proportional to 409,499.98, 565,458.24 and 256,793.92 is: 354,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,499.98 : 565,458.24 = 256,793.92 : x
  2. Step 2: Convert to fraction form
    409,499.98/565,458.24 = 256,793.92/x
  3. Step 3: Cross multiply
    409,499.98x = 565,458.24 × 256,793.92
  4. Step 4: Simplify right side
    409,499.98x = 145,206,238,045.90
  5. Step 5: Solve for x
    x = 145,206,238,045.90/409,499.98
  6. Step 6: Final answer
    x = 354,594.01

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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.