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Finding the Fourth Proportional to 659,474.64, 910,110.24 and 417,668.40

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Solution

The fourth proportional to 659,474.64, 910,110.24 and 417,668.40 is: 576,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,474.64 : 910,110.24 = 417,668.40 : x
  2. Step 2: Convert to fraction form
    659,474.64/910,110.24 = 417,668.40/x
  3. Step 3: Cross multiply
    659,474.64x = 910,110.24 × 417,668.40
  4. Step 4: Simplify right side
    659,474.64x = 380,124,287,764.42
  5. Step 5: Solve for x
    x = 380,124,287,764.42/659,474.64
  6. Step 6: Final answer
    x = 576,404.71

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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.