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Finding the Fourth Proportional to 589,229.04, 813,113.14 and 360,169.84

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Solution

The fourth proportional to 589,229.04, 813,113.14 and 360,169.84 is: 497,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,229.04 : 813,113.14 = 360,169.84 : x
  2. Step 2: Convert to fraction form
    589,229.04/813,113.14 = 360,169.84/x
  3. Step 3: Cross multiply
    589,229.04x = 813,113.14 × 360,169.84
  4. Step 4: Simplify right side
    589,229.04x = 292,858,829,535.70
  5. Step 5: Solve for x
    x = 292,858,829,535.70/589,229.04
  6. Step 6: Final answer
    x = 497,020.36

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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.