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Finding the Fourth Proportional to 384,097.34, 576,220.17 and 147,421.57

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Solution

The fourth proportional to 384,097.34, 576,220.17 and 147,421.57 is: 221,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,097.34 : 576,220.17 = 147,421.57 : x
  2. Step 2: Convert to fraction form
    384,097.34/576,220.17 = 147,421.57/x
  3. Step 3: Cross multiply
    384,097.34x = 576,220.17 × 147,421.57
  4. Step 4: Simplify right side
    384,097.34x = 84,947,281,283.20
  5. Step 5: Solve for x
    x = 84,947,281,283.20/384,097.34
  6. Step 6: Final answer
    x = 221,160.81

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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.