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Finding the Fourth Proportional to 408,059.65, 571,874 and 408,059.65

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Solution

The fourth proportional to 408,059.65, 571,874 and 408,059.65 is: 571,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,059.65 : 571,874 = 408,059.65 : x
  2. Step 2: Convert to fraction form
    408,059.65/571,874 = 408,059.65/x
  3. Step 3: Cross multiply
    408,059.65x = 571,874 × 408,059.65
  4. Step 4: Simplify right side
    408,059.65x = 233,358,704,284.10
  5. Step 5: Solve for x
    x = 233,358,704,284.10/408,059.65
  6. Step 6: Final answer
    x = 571,874

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.