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Finding the Fourth Proportional to 321,780, 482,704.56 and 144,366.24

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Solution

The fourth proportional to 321,780, 482,704.56 and 144,366.24 is: 216,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,780 : 482,704.56 = 144,366.24 : x
  2. Step 2: Convert to fraction form
    321,780/482,704.56 = 144,366.24/x
  3. Step 3: Cross multiply
    321,780x = 482,704.56 × 144,366.24
  4. Step 4: Simplify right side
    321,780x = 69,686,242,358.05
  5. Step 5: Solve for x
    x = 69,686,242,358.05/321,780
  6. Step 6: Final answer
    x = 216,564.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.