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Finding the Fourth Proportional to 410,373.78, 566,306.41 and 229,102.58

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Solution

The fourth proportional to 410,373.78, 566,306.41 and 229,102.58 is: 316,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,373.78 : 566,306.41 = 229,102.58 : x
  2. Step 2: Convert to fraction form
    410,373.78/566,306.41 = 229,102.58/x
  3. Step 3: Cross multiply
    410,373.78x = 566,306.41 × 229,102.58
  4. Step 4: Simplify right side
    410,373.78x = 129,742,259,601.54
  5. Step 5: Solve for x
    x = 129,742,259,601.54/410,373.78
  6. Step 6: Final answer
    x = 316,156.31

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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.