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Finding the Fourth Proportional to 408,043.65, 571,851.60 and 408,043.65

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Solution

The fourth proportional to 408,043.65, 571,851.60 and 408,043.65 is: 571,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,043.65 : 571,851.60 = 408,043.65 : x
  2. Step 2: Convert to fraction form
    408,043.65/571,851.60 = 408,043.65/x
  3. Step 3: Cross multiply
    408,043.65x = 571,851.60 × 408,043.65
  4. Step 4: Simplify right side
    408,043.65x = 233,340,414,122.34
  5. Step 5: Solve for x
    x = 233,340,414,122.34/408,043.65
  6. Step 6: Final answer
    x = 571,851.60

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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.