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Finding the Fourth Proportional to 205,331.60, 307,997.40 and 197,458.40

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Solution

The fourth proportional to 205,331.60, 307,997.40 and 197,458.40 is: 296,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,331.60 : 307,997.40 = 197,458.40 : x
  2. Step 2: Convert to fraction form
    205,331.60/307,997.40 = 197,458.40/x
  3. Step 3: Cross multiply
    205,331.60x = 307,997.40 × 197,458.40
  4. Step 4: Simplify right side
    205,331.60x = 60,816,673,808.16
  5. Step 5: Solve for x
    x = 60,816,673,808.16/205,331.60
  6. Step 6: Final answer
    x = 296,187.60

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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.