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Finding the Fourth Proportional to 576,013.14, 862,771.77 and 417,892.50

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Solution

The fourth proportional to 576,013.14, 862,771.77 and 417,892.50 is: 625,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,013.14 : 862,771.77 = 417,892.50 : x
  2. Step 2: Convert to fraction form
    576,013.14/862,771.77 = 417,892.50/x
  3. Step 3: Cross multiply
    576,013.14x = 862,771.77 × 417,892.50
  4. Step 4: Simplify right side
    576,013.14x = 360,545,851,894.73
  5. Step 5: Solve for x
    x = 360,545,851,894.73/576,013.14
  6. Step 6: Final answer
    x = 625,933.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.