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Finding the Fourth Proportional to 380,262.10, 570,363.45 and 99,772.06

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Solution

The fourth proportional to 380,262.10, 570,363.45 and 99,772.06 is: 149,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,262.10 : 570,363.45 = 99,772.06 : x
  2. Step 2: Convert to fraction form
    380,262.10/570,363.45 = 99,772.06/x
  3. Step 3: Cross multiply
    380,262.10x = 570,363.45 × 99,772.06
  4. Step 4: Simplify right side
    380,262.10x = 56,906,336,355.21
  5. Step 5: Solve for x
    x = 56,906,336,355.21/380,262.10
  6. Step 6: Final answer
    x = 149,650.30

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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.