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Finding the Fourth Proportional to 408,047.03, 571,856.33 and 408,047.03

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Solution

The fourth proportional to 408,047.03, 571,856.33 and 408,047.03 is: 571,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.03 : 571,856.33 = 408,047.03 : x
  2. Step 2: Convert to fraction form
    408,047.03/571,856.33 = 408,047.03/x
  3. Step 3: Cross multiply
    408,047.03x = 571,856.33 × 408,047.03
  4. Step 4: Simplify right side
    408,047.03x = 233,344,277,043.20
  5. Step 5: Solve for x
    x = 233,344,277,043.20/408,047.03
  6. Step 6: Final answer
    x = 571,856.33

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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.