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Finding the Fourth Proportional to 423,480.70, 584,404.36 and 232,506.40

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Solution

The fourth proportional to 423,480.70, 584,404.36 and 232,506.40 is: 320,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,480.70 : 584,404.36 = 232,506.40 : x
  2. Step 2: Convert to fraction form
    423,480.70/584,404.36 = 232,506.40/x
  3. Step 3: Cross multiply
    423,480.70x = 584,404.36 × 232,506.40
  4. Step 4: Simplify right side
    423,480.70x = 135,877,753,887.90
  5. Step 5: Solve for x
    x = 135,877,753,887.90/423,480.70
  6. Step 6: Final answer
    x = 320,859.38

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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.