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Finding the Fourth Proportional to 408,065.40, 571,882.08 and 408,065.40

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Solution

The fourth proportional to 408,065.40, 571,882.08 and 408,065.40 is: 571,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,065.40 : 571,882.08 = 408,065.40 : x
  2. Step 2: Convert to fraction form
    408,065.40/571,882.08 = 408,065.40/x
  3. Step 3: Cross multiply
    408,065.40x = 571,882.08 × 408,065.40
  4. Step 4: Simplify right side
    408,065.40x = 233,365,289,728.03
  5. Step 5: Solve for x
    x = 233,365,289,728.03/408,065.40
  6. Step 6: Final answer
    x = 571,882.08

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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.