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Finding the Fourth Proportional to 585,046.80, 877,570.20 and 185,718.83

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Solution

The fourth proportional to 585,046.80, 877,570.20 and 185,718.83 is: 278,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,046.80 : 877,570.20 = 185,718.83 : x
  2. Step 2: Convert to fraction form
    585,046.80/877,570.20 = 185,718.83/x
  3. Step 3: Cross multiply
    585,046.80x = 877,570.20 × 185,718.83
  4. Step 4: Simplify right side
    585,046.80x = 162,981,306,399.02
  5. Step 5: Solve for x
    x = 162,981,306,399.02/585,046.80
  6. Step 6: Final answer
    x = 278,578.24

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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.