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Finding the Fourth Proportional to 242,570.78, 363,412.80 and 175,845.41

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Solution

The fourth proportional to 242,570.78, 363,412.80 and 175,845.41 is: 263,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,570.78 : 363,412.80 = 175,845.41 : x
  2. Step 2: Convert to fraction form
    242,570.78/363,412.80 = 175,845.41/x
  3. Step 3: Cross multiply
    242,570.78x = 363,412.80 × 175,845.41
  4. Step 4: Simplify right side
    242,570.78x = 63,904,472,815.25
  5. Step 5: Solve for x
    x = 63,904,472,815.25/242,570.78
  6. Step 6: Final answer
    x = 263,446.71

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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.