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Finding the Fourth Proportional to 397,561.20, 596,341.80 and 148,210.80

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Solution

The fourth proportional to 397,561.20, 596,341.80 and 148,210.80 is: 222,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,561.20 : 596,341.80 = 148,210.80 : x
  2. Step 2: Convert to fraction form
    397,561.20/596,341.80 = 148,210.80/x
  3. Step 3: Cross multiply
    397,561.20x = 596,341.80 × 148,210.80
  4. Step 4: Simplify right side
    397,561.20x = 88,384,295,251.44
  5. Step 5: Solve for x
    x = 88,384,295,251.44/397,561.20
  6. Step 6: Final answer
    x = 222,316.20

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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.