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Finding the Fourth Proportional to 413,616.95, 577,882.75 and 413,616.95

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Solution

The fourth proportional to 413,616.95, 577,882.75 and 413,616.95 is: 577,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,616.95 : 577,882.75 = 413,616.95 : x
  2. Step 2: Convert to fraction form
    413,616.95/577,882.75 = 413,616.95/x
  3. Step 3: Cross multiply
    413,616.95x = 577,882.75 × 413,616.95
  4. Step 4: Simplify right side
    413,616.95x = 239,022,100,512.61
  5. Step 5: Solve for x
    x = 239,022,100,512.61/413,616.95
  6. Step 6: Final answer
    x = 577,882.75

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