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Finding the Fourth Proportional to 409,392.57, 614,182.32 and 125,123.58

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Solution

The fourth proportional to 409,392.57, 614,182.32 and 125,123.58 is: 187,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,392.57 : 614,182.32 = 125,123.58 : x
  2. Step 2: Convert to fraction form
    409,392.57/614,182.32 = 125,123.58/x
  3. Step 3: Cross multiply
    409,392.57x = 614,182.32 × 125,123.58
  4. Step 4: Simplify right side
    409,392.57x = 76,848,690,651.11
  5. Step 5: Solve for x
    x = 76,848,690,651.11/409,392.57
  6. Step 6: Final answer
    x = 187,713.94

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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.