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Finding the Fourth Proportional to 656,834.83, 906,277.41 and 398,705.38

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Solution

The fourth proportional to 656,834.83, 906,277.41 and 398,705.38 is: 550,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,834.83 : 906,277.41 = 398,705.38 : x
  2. Step 2: Convert to fraction form
    656,834.83/906,277.41 = 398,705.38/x
  3. Step 3: Cross multiply
    656,834.83x = 906,277.41 × 398,705.38
  4. Step 4: Simplify right side
    656,834.83x = 361,337,676,873.77
  5. Step 5: Solve for x
    x = 361,337,676,873.77/656,834.83
  6. Step 6: Final answer
    x = 550,119.55

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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.