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Finding the Fourth Proportional to 423,208.20, 584,003.88 and 232,206.42

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Solution

The fourth proportional to 423,208.20, 584,003.88 and 232,206.42 is: 320,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,208.20 : 584,003.88 = 232,206.42 : x
  2. Step 2: Convert to fraction form
    423,208.20/584,003.88 = 232,206.42/x
  3. Step 3: Cross multiply
    423,208.20x = 584,003.88 × 232,206.42
  4. Step 4: Simplify right side
    423,208.20x = 135,609,450,240.91
  5. Step 5: Solve for x
    x = 135,609,450,240.91/423,208.20
  6. Step 6: Final answer
    x = 320,432.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.