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Finding the Fourth Proportional to 598,529.20, 898,231.20 and 421,382.20

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Solution

The fourth proportional to 598,529.20, 898,231.20 and 421,382.20 is: 632,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,529.20 : 898,231.20 = 421,382.20 : x
  2. Step 2: Convert to fraction form
    598,529.20/898,231.20 = 421,382.20/x
  3. Step 3: Cross multiply
    598,529.20x = 898,231.20 × 421,382.20
  4. Step 4: Simplify right side
    598,529.20x = 378,498,639,164.64
  5. Step 5: Solve for x
    x = 378,498,639,164.64/598,529.20
  6. Step 6: Final answer
    x = 632,381.24

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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.