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Finding the Fourth Proportional to 487,874.24, 731,519.76 and 188,106.24

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Solution

The fourth proportional to 487,874.24, 731,519.76 and 188,106.24 is: 282,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,874.24 : 731,519.76 = 188,106.24 : x
  2. Step 2: Convert to fraction form
    487,874.24/731,519.76 = 188,106.24/x
  3. Step 3: Cross multiply
    487,874.24x = 731,519.76 × 188,106.24
  4. Step 4: Simplify right side
    487,874.24x = 137,603,431,539.30
  5. Step 5: Solve for x
    x = 137,603,431,539.30/487,874.24
  6. Step 6: Final answer
    x = 282,046.93

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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.