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Finding the Fourth Proportional to 230,999.80, 346,718.40 and 197,757.40

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Solution

The fourth proportional to 230,999.80, 346,718.40 and 197,757.40 is: 296,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,999.80 : 346,718.40 = 197,757.40 : x
  2. Step 2: Convert to fraction form
    230,999.80/346,718.40 = 197,757.40/x
  3. Step 3: Cross multiply
    230,999.80x = 346,718.40 × 197,757.40
  4. Step 4: Simplify right side
    230,999.80x = 68,566,129,316.16
  5. Step 5: Solve for x
    x = 68,566,129,316.16/230,999.80
  6. Step 6: Final answer
    x = 296,823.33

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1.5x scale

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.