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Finding the Fourth Proportional to 304,872.60, 457,143.93 and 242,096.58

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Solution

The fourth proportional to 304,872.60, 457,143.93 and 242,096.58 is: 363,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,872.60 : 457,143.93 = 242,096.58 : x
  2. Step 2: Convert to fraction form
    304,872.60/457,143.93 = 242,096.58/x
  3. Step 3: Cross multiply
    304,872.60x = 457,143.93 × 242,096.58
  4. Step 4: Simplify right side
    304,872.60x = 110,672,982,020.76
  5. Step 5: Solve for x
    x = 110,672,982,020.76/304,872.60
  6. Step 6: Final answer
    x = 363,013.87

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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.