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Finding the Fourth Proportional to 410,686.11, 566,740.80 and 229,400.55

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Solution

The fourth proportional to 410,686.11, 566,740.80 and 229,400.55 is: 316,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,686.11 : 566,740.80 = 229,400.55 : x
  2. Step 2: Convert to fraction form
    410,686.11/566,740.80 = 229,400.55/x
  3. Step 3: Cross multiply
    410,686.11x = 566,740.80 × 229,400.55
  4. Step 4: Simplify right side
    410,686.11x = 130,010,651,227.44
  5. Step 5: Solve for x
    x = 130,010,651,227.44/410,686.11
  6. Step 6: Final answer
    x = 316,569.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.