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Finding the Fourth Proportional to 384,491.70, 576,838.35 and 147,842.10

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Solution

The fourth proportional to 384,491.70, 576,838.35 and 147,842.10 is: 221,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,491.70 : 576,838.35 = 147,842.10 : x
  2. Step 2: Convert to fraction form
    384,491.70/576,838.35 = 147,842.10/x
  3. Step 3: Cross multiply
    384,491.70x = 576,838.35 × 147,842.10
  4. Step 4: Simplify right side
    384,491.70x = 85,280,993,024.54
  5. Step 5: Solve for x
    x = 85,280,993,024.54/384,491.70
  6. Step 6: Final answer
    x = 221,801.91

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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.