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Finding the Fourth Proportional to 304,503.60, 457,273.80 and 225,706.80

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Solution

The fourth proportional to 304,503.60, 457,273.80 and 225,706.80 is: 338,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,503.60 : 457,273.80 = 225,706.80 : x
  2. Step 2: Convert to fraction form
    304,503.60/457,273.80 = 225,706.80/x
  3. Step 3: Cross multiply
    304,503.60x = 457,273.80 × 225,706.80
  4. Step 4: Simplify right side
    304,503.60x = 103,209,806,121.84
  5. Step 5: Solve for x
    x = 103,209,806,121.84/304,503.60
  6. Step 6: Final answer
    x = 338,944.45

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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.