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Finding the Fourth Proportional to 423,472.46, 584,392.98 and 232,498.14

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Solution

The fourth proportional to 423,472.46, 584,392.98 and 232,498.14 is: 320,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,472.46 : 584,392.98 = 232,498.14 : x
  2. Step 2: Convert to fraction form
    423,472.46/584,392.98 = 232,498.14/x
  3. Step 3: Cross multiply
    423,472.46x = 584,392.98 × 232,498.14
  4. Step 4: Simplify right side
    423,472.46x = 135,870,280,879.06
  5. Step 5: Solve for x
    x = 135,870,280,879.06/423,472.46
  6. Step 6: Final answer
    x = 320,847.97

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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.