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Finding the Fourth Proportional to 410,686.69, 566,730.70 and 229,397.75

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Solution

The fourth proportional to 410,686.69, 566,730.70 and 229,397.75 is: 316,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,686.69 : 566,730.70 = 229,397.75 : x
  2. Step 2: Convert to fraction form
    410,686.69/566,730.70 = 229,397.75/x
  3. Step 3: Cross multiply
    410,686.69x = 566,730.70 × 229,397.75
  4. Step 4: Simplify right side
    410,686.69x = 130,006,747,435.93
  5. Step 5: Solve for x
    x = 130,006,747,435.93/410,686.69
  6. Step 6: Final answer
    x = 316,559.44

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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.