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Finding the Fourth Proportional to 423,347.40, 584,217.36 and 232,363.98

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Solution

The fourth proportional to 423,347.40, 584,217.36 and 232,363.98 is: 320,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,347.40 : 584,217.36 = 232,363.98 : x
  2. Step 2: Convert to fraction form
    423,347.40/584,217.36 = 232,363.98/x
  3. Step 3: Cross multiply
    423,347.40x = 584,217.36 × 232,363.98
  4. Step 4: Simplify right side
    423,347.40x = 135,751,070,954.69
  5. Step 5: Solve for x
    x = 135,751,070,954.69/423,347.40
  6. Step 6: Final answer
    x = 320,661.17

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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.