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Finding the Fourth Proportional to 410,706.59, 566,562.80 and 259,891.07

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Solution

The fourth proportional to 410,706.59, 566,562.80 and 259,891.07 is: 358,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,706.59 : 566,562.80 = 259,891.07 : x
  2. Step 2: Convert to fraction form
    410,706.59/566,562.80 = 259,891.07/x
  3. Step 3: Cross multiply
    410,706.59x = 566,562.80 × 259,891.07
  4. Step 4: Simplify right side
    410,706.59x = 147,244,610,131.11
  5. Step 5: Solve for x
    x = 147,244,610,131.11/410,706.59
  6. Step 6: Final answer
    x = 358,515.34

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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.