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Finding the Fourth Proportional to 410,956.71, 567,118.42 and 229,668.58

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Solution

The fourth proportional to 410,956.71, 567,118.42 and 229,668.58 is: 316,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,956.71 : 567,118.42 = 229,668.58 : x
  2. Step 2: Convert to fraction form
    410,956.71/567,118.42 = 229,668.58/x
  3. Step 3: Cross multiply
    410,956.71x = 567,118.42 × 229,668.58
  4. Step 4: Simplify right side
    410,956.71x = 130,249,282,213.24
  5. Step 5: Solve for x
    x = 130,249,282,213.24/410,956.71
  6. Step 6: Final answer
    x = 316,941.61

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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.