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Finding the Fourth Proportional to 585,288.30, 877,869.38 and 396,957.62

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Solution

The fourth proportional to 585,288.30, 877,869.38 and 396,957.62 is: 595,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,288.30 : 877,869.38 = 396,957.62 : x
  2. Step 2: Convert to fraction form
    585,288.30/877,869.38 = 396,957.62/x
  3. Step 3: Cross multiply
    585,288.30x = 877,869.38 × 396,957.62
  4. Step 4: Simplify right side
    585,288.30x = 348,476,939,755.68
  5. Step 5: Solve for x
    x = 348,476,939,755.68/585,288.30
  6. Step 6: Final answer
    x = 595,393.65

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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.