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Finding the Fourth Proportional to 499,052.25, 748,792.89 and 162,196.20

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Solution

The fourth proportional to 499,052.25, 748,792.89 and 162,196.20 is: 243,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,052.25 : 748,792.89 = 162,196.20 : x
  2. Step 2: Convert to fraction form
    499,052.25/748,792.89 = 162,196.20/x
  3. Step 3: Cross multiply
    499,052.25x = 748,792.89 × 162,196.20
  4. Step 4: Simplify right side
    499,052.25x = 121,451,361,345.02
  5. Step 5: Solve for x
    x = 121,451,361,345.02/499,052.25
  6. Step 6: Final answer
    x = 243,364.02

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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.