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Finding the Fourth Proportional to 315,344.40, 473,016.60 and 197,149.20

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Solution

The fourth proportional to 315,344.40, 473,016.60 and 197,149.20 is: 295,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,344.40 : 473,016.60 = 197,149.20 : x
  2. Step 2: Convert to fraction form
    315,344.40/473,016.60 = 197,149.20/x
  3. Step 3: Cross multiply
    315,344.40x = 473,016.60 × 197,149.20
  4. Step 4: Simplify right side
    315,344.40x = 93,254,844,276.72
  5. Step 5: Solve for x
    x = 93,254,844,276.72/315,344.40
  6. Step 6: Final answer
    x = 295,723.80

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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.