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Finding the Fourth Proportional to 410,458.08, 566,426.62 and 229,172.78

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Solution

The fourth proportional to 410,458.08, 566,426.62 and 229,172.78 is: 316,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,458.08 : 566,426.62 = 229,172.78 : x
  2. Step 2: Convert to fraction form
    410,458.08/566,426.62 = 229,172.78/x
  3. Step 3: Cross multiply
    410,458.08x = 566,426.62 × 229,172.78
  4. Step 4: Simplify right side
    410,458.08x = 129,809,563,171.40
  5. Step 5: Solve for x
    x = 129,809,563,171.40/410,458.08
  6. Step 6: Final answer
    x = 316,255.35

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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.