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Finding the Fourth Proportional to 417,472.32, 580,108.32 and 413,137.20

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Solution

The fourth proportional to 417,472.32, 580,108.32 and 413,137.20 is: 574,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,472.32 : 580,108.32 = 413,137.20 : x
  2. Step 2: Convert to fraction form
    417,472.32/580,108.32 = 413,137.20/x
  3. Step 3: Cross multiply
    417,472.32x = 580,108.32 × 413,137.20
  4. Step 4: Simplify right side
    417,472.32x = 239,664,327,021.50
  5. Step 5: Solve for x
    x = 239,664,327,021.50/417,472.32
  6. Step 6: Final answer
    x = 574,084.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.