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Finding the Fourth Proportional to 407,561.60, 611,803.20 and 241,443.20

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Solution

The fourth proportional to 407,561.60, 611,803.20 and 241,443.20 is: 362,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,561.60 : 611,803.20 = 241,443.20 : x
  2. Step 2: Convert to fraction form
    407,561.60/611,803.20 = 241,443.20/x
  3. Step 3: Cross multiply
    407,561.60x = 611,803.20 × 241,443.20
  4. Step 4: Simplify right side
    407,561.60x = 147,715,722,378.24
  5. Step 5: Solve for x
    x = 147,715,722,378.24/407,561.60
  6. Step 6: Final answer
    x = 362,437.78

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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.