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Finding the Fourth Proportional to 417,753.20, 626,975.40 and 193,458.80

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Solution

The fourth proportional to 417,753.20, 626,975.40 and 193,458.80 is: 290,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,753.20 : 626,975.40 = 193,458.80 : x
  2. Step 2: Convert to fraction form
    417,753.20/626,975.40 = 193,458.80/x
  3. Step 3: Cross multiply
    417,753.20x = 626,975.40 × 193,458.80
  4. Step 4: Simplify right side
    417,753.20x = 121,293,908,513.52
  5. Step 5: Solve for x
    x = 121,293,908,513.52/417,753.20
  6. Step 6: Final answer
    x = 290,348.25

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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.