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Finding the Fourth Proportional to 384,564.90, 576,847.35 and 162,920.10

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Solution

The fourth proportional to 384,564.90, 576,847.35 and 162,920.10 is: 244,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,564.90 : 576,847.35 = 162,920.10 : x
  2. Step 2: Convert to fraction form
    384,564.90/576,847.35 = 162,920.10/x
  3. Step 3: Cross multiply
    384,564.90x = 576,847.35 × 162,920.10
  4. Step 4: Simplify right side
    384,564.90x = 93,980,027,946.74
  5. Step 5: Solve for x
    x = 93,980,027,946.74/384,564.90
  6. Step 6: Final answer
    x = 244,380.15

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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.