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Finding the Fourth Proportional to 242,560.78, 363,397.80 and 175,835.41

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Solution

The fourth proportional to 242,560.78, 363,397.80 and 175,835.41 is: 263,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,560.78 : 363,397.80 = 175,835.41 : x
  2. Step 2: Convert to fraction form
    242,560.78/363,397.80 = 175,835.41/x
  3. Step 3: Cross multiply
    242,560.78x = 363,397.80 × 175,835.41
  4. Step 4: Simplify right side
    242,560.78x = 63,898,201,156.10
  5. Step 5: Solve for x
    x = 63,898,201,156.10/242,560.78
  6. Step 6: Final answer
    x = 263,431.71

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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.