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Finding the Fourth Proportional to 402,580.92, 555,469.74 and 232,784.76

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Solution

The fourth proportional to 402,580.92, 555,469.74 and 232,784.76 is: 321,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,580.92 : 555,469.74 = 232,784.76 : x
  2. Step 2: Convert to fraction form
    402,580.92/555,469.74 = 232,784.76/x
  3. Step 3: Cross multiply
    402,580.92x = 555,469.74 × 232,784.76
  4. Step 4: Simplify right side
    402,580.92x = 129,304,890,113.16
  5. Step 5: Solve for x
    x = 129,304,890,113.16/402,580.92
  6. Step 6: Final answer
    x = 321,189.81

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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.