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Finding the Fourth Proportional to 589,297.62, 813,209.13 and 360,238.53

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Solution

The fourth proportional to 589,297.62, 813,209.13 and 360,238.53 is: 497,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,297.62 : 813,209.13 = 360,238.53 : x
  2. Step 2: Convert to fraction form
    589,297.62/813,209.13 = 360,238.53/x
  3. Step 3: Cross multiply
    589,297.62x = 813,209.13 × 360,238.53
  4. Step 4: Simplify right side
    589,297.62x = 292,949,261,573.78
  5. Step 5: Solve for x
    x = 292,949,261,573.78/589,297.62
  6. Step 6: Final answer
    x = 497,115.98

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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.