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Finding the Fourth Proportional to 423,954.27, 584,472.31 and 338,204.30

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Solution

The fourth proportional to 423,954.27, 584,472.31 and 338,204.30 is: 466,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,954.27 : 584,472.31 = 338,204.30 : x
  2. Step 2: Convert to fraction form
    423,954.27/584,472.31 = 338,204.30/x
  3. Step 3: Cross multiply
    423,954.27x = 584,472.31 × 338,204.30
  4. Step 4: Simplify right side
    423,954.27x = 197,671,044,705.06
  5. Step 5: Solve for x
    x = 197,671,044,705.06/423,954.27
  6. Step 6: Final answer
    x = 466,255.58

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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.