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Finding the Fourth Proportional to 410,963.91, 567,128.25 and 229,675.65

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Solution

The fourth proportional to 410,963.91, 567,128.25 and 229,675.65 is: 316,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,963.91 : 567,128.25 = 229,675.65 : x
  2. Step 2: Convert to fraction form
    410,963.91/567,128.25 = 229,675.65/x
  3. Step 3: Cross multiply
    410,963.91x = 567,128.25 × 229,675.65
  4. Step 4: Simplify right side
    410,963.91x = 130,255,549,452.11
  5. Step 5: Solve for x
    x = 130,255,549,452.11/410,963.91
  6. Step 6: Final answer
    x = 316,951.31

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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.