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Finding the Fourth Proportional to 408,059.16, 571,873.30 and 408,059.16

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Solution

The fourth proportional to 408,059.16, 571,873.30 and 408,059.16 is: 571,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,059.16 : 571,873.30 = 408,059.16 : x
  2. Step 2: Convert to fraction form
    408,059.16/571,873.30 = 408,059.16/x
  3. Step 3: Cross multiply
    408,059.16x = 571,873.30 × 408,059.16
  4. Step 4: Simplify right side
    408,059.16x = 233,358,138,424.43
  5. Step 5: Solve for x
    x = 233,358,138,424.43/408,059.16
  6. Step 6: Final answer
    x = 571,873.30

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Why These Related Problems?

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