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Finding the Fourth Proportional to 442,242.60, 662,975.10 and 264,820.20

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Solution

The fourth proportional to 442,242.60, 662,975.10 and 264,820.20 is: 396,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,242.60 : 662,975.10 = 264,820.20 : x
  2. Step 2: Convert to fraction form
    442,242.60/662,975.10 = 264,820.20/x
  3. Step 3: Cross multiply
    442,242.60x = 662,975.10 × 264,820.20
  4. Step 4: Simplify right side
    442,242.60x = 175,569,198,577.02
  5. Step 5: Solve for x
    x = 175,569,198,577.02/442,242.60
  6. Step 6: Final answer
    x = 396,997.48

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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.