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Finding the Fourth Proportional to 415,707.20, 623,744.40 and 202,356.80

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Solution

The fourth proportional to 415,707.20, 623,744.40 and 202,356.80 is: 303,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,707.20 : 623,744.40 = 202,356.80 : x
  2. Step 2: Convert to fraction form
    415,707.20/623,744.40 = 202,356.80/x
  3. Step 3: Cross multiply
    415,707.20x = 623,744.40 × 202,356.80
  4. Step 4: Simplify right side
    415,707.20x = 126,218,920,801.92
  5. Step 5: Solve for x
    x = 126,218,920,801.92/415,707.20
  6. Step 6: Final answer
    x = 303,624.57

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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.