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Finding the Fourth Proportional to 408,072.10, 571,767.50 and 408,072.10

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Solution

The fourth proportional to 408,072.10, 571,767.50 and 408,072.10 is: 571,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,072.10 : 571,767.50 = 408,072.10 : x
  2. Step 2: Convert to fraction form
    408,072.10/571,767.50 = 408,072.10/x
  3. Step 3: Cross multiply
    408,072.10x = 571,767.50 × 408,072.10
  4. Step 4: Simplify right side
    408,072.10x = 233,322,364,436.75
  5. Step 5: Solve for x
    x = 233,322,364,436.75/408,072.10
  6. Step 6: Final answer
    x = 571,767.50

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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.