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Finding the Fourth Proportional to 402,289.38, 555,080.79 and 230,259.96

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Solution

The fourth proportional to 402,289.38, 555,080.79 and 230,259.96 is: 317,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,289.38 : 555,080.79 = 230,259.96 : x
  2. Step 2: Convert to fraction form
    402,289.38/555,080.79 = 230,259.96/x
  3. Step 3: Cross multiply
    402,289.38x = 555,080.79 × 230,259.96
  4. Step 4: Simplify right side
    402,289.38x = 127,812,880,502.17
  5. Step 5: Solve for x
    x = 127,812,880,502.17/402,289.38
  6. Step 6: Final answer
    x = 317,713.78

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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.