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Finding the Fourth Proportional to 225,740.40, 338,101.80 and 175,428.72

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Solution

The fourth proportional to 225,740.40, 338,101.80 and 175,428.72 is: 262,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,740.40 : 338,101.80 = 175,428.72 : x
  2. Step 2: Convert to fraction form
    225,740.40/338,101.80 = 175,428.72/x
  3. Step 3: Cross multiply
    225,740.40x = 338,101.80 × 175,428.72
  4. Step 4: Simplify right side
    225,740.40x = 59,312,766,003.70
  5. Step 5: Solve for x
    x = 59,312,766,003.70/225,740.40
  6. Step 6: Final answer
    x = 262,747.68

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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.