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Finding the Fourth Proportional to 417,392.16, 576,092.16 and 256,331.76

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Solution

The fourth proportional to 417,392.16, 576,092.16 and 256,331.76 is: 353,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,392.16 : 576,092.16 = 256,331.76 : x
  2. Step 2: Convert to fraction form
    417,392.16/576,092.16 = 256,331.76/x
  3. Step 3: Cross multiply
    417,392.16x = 576,092.16 × 256,331.76
  4. Step 4: Simplify right side
    417,392.16x = 147,670,717,295.00
  5. Step 5: Solve for x
    x = 147,670,717,295.00/417,392.16
  6. Step 6: Final answer
    x = 353,793.70

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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.