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Finding the Fourth Proportional to 242,564.78, 363,403.80 and 175,839.41

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Solution

The fourth proportional to 242,564.78, 363,403.80 and 175,839.41 is: 263,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564.78 : 363,403.80 = 175,839.41 : x
  2. Step 2: Convert to fraction form
    242,564.78/363,403.80 = 175,839.41/x
  3. Step 3: Cross multiply
    242,564.78x = 363,403.80 × 175,839.41
  4. Step 4: Simplify right side
    242,564.78x = 63,900,709,783.76
  5. Step 5: Solve for x
    x = 63,900,709,783.76/242,564.78
  6. Step 6: Final answer
    x = 263,437.71

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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.