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Finding the Fourth Proportional to 410,954.11, 567,114.72 and 229,665.94

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Solution

The fourth proportional to 410,954.11, 567,114.72 and 229,665.94 is: 316,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,954.11 : 567,114.72 = 229,665.94 : x
  2. Step 2: Convert to fraction form
    410,954.11/567,114.72 = 229,665.94/x
  3. Step 3: Cross multiply
    410,954.11x = 567,114.72 × 229,665.94
  4. Step 4: Simplify right side
    410,954.11x = 130,246,932,421.06
  5. Step 5: Solve for x
    x = 130,246,932,421.06/410,954.11
  6. Step 6: Final answer
    x = 316,937.90

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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.