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Finding the Fourth Proportional to 304,874.46, 457,146.77 and 242,098.47

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Solution

The fourth proportional to 304,874.46, 457,146.77 and 242,098.47 is: 363,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,874.46 : 457,146.77 = 242,098.47 : x
  2. Step 2: Convert to fraction form
    304,874.46/457,146.77 = 242,098.47/x
  3. Step 3: Cross multiply
    304,874.46x = 457,146.77 × 242,098.47
  4. Step 4: Simplify right side
    304,874.46x = 110,674,532,371.95
  5. Step 5: Solve for x
    x = 110,674,532,371.95/304,874.46
  6. Step 6: Final answer
    x = 363,016.74

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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.