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Finding the Fourth Proportional to 423,474.28, 584,409.54 and 232,502.20

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Solution

The fourth proportional to 423,474.28, 584,409.54 and 232,502.20 is: 320,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,474.28 : 584,409.54 = 232,502.20 : x
  2. Step 2: Convert to fraction form
    423,474.28/584,409.54 = 232,502.20/x
  3. Step 3: Cross multiply
    423,474.28x = 584,409.54 × 232,502.20
  4. Step 4: Simplify right side
    423,474.28x = 135,876,503,750.99
  5. Step 5: Solve for x
    x = 135,876,503,750.99/423,474.28
  6. Step 6: Final answer
    x = 320,861.29

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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.