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Finding the Fourth Proportional to 438,568.80, 657,853.20 and 320,470.80

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Solution

The fourth proportional to 438,568.80, 657,853.20 and 320,470.80 is: 480,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,568.80 : 657,853.20 = 320,470.80 : x
  2. Step 2: Convert to fraction form
    438,568.80/657,853.20 = 320,470.80/x
  3. Step 3: Cross multiply
    438,568.80x = 657,853.20 × 320,470.80
  4. Step 4: Simplify right side
    438,568.80x = 210,822,741,286.56
  5. Step 5: Solve for x
    x = 210,822,741,286.56/438,568.80
  6. Step 6: Final answer
    x = 480,706.20

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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.