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Finding the Fourth Proportional to 814,223.16, 1,222,086.42 and 586,755

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Solution

The fourth proportional to 814,223.16, 1,222,086.42 and 586,755 is: 880,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,223.16 : 1,222,086.42 = 586,755 : x
  2. Step 2: Convert to fraction form
    814,223.16/1,222,086.42 = 586,755/x
  3. Step 3: Cross multiply
    814,223.16x = 1,222,086.42 × 586,755
  4. Step 4: Simplify right side
    814,223.16x = 717,065,317,367.10
  5. Step 5: Solve for x
    x = 717,065,317,367.10/814,223.16
  6. Step 6: Final answer
    x = 880,674.18

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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.