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Finding the Fourth Proportional to 659,815.77, 910,643.11 and 418,120.38

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Solution

The fourth proportional to 659,815.77, 910,643.11 and 418,120.38 is: 577,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,815.77 : 910,643.11 = 418,120.38 : x
  2. Step 2: Convert to fraction form
    659,815.77/910,643.11 = 418,120.38/x
  3. Step 3: Cross multiply
    659,815.77x = 910,643.11 × 418,120.38
  4. Step 4: Simplify right side
    659,815.77x = 380,758,442,152.28
  5. Step 5: Solve for x
    x = 380,758,442,152.28/659,815.77
  6. Step 6: Final answer
    x = 577,067.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.