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Finding the Fourth Proportional to 202,847.10, 304,270.65 and 197,663.10

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Solution

The fourth proportional to 202,847.10, 304,270.65 and 197,663.10 is: 296,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,847.10 : 304,270.65 = 197,663.10 : x
  2. Step 2: Convert to fraction form
    202,847.10/304,270.65 = 197,663.10/x
  3. Step 3: Cross multiply
    202,847.10x = 304,270.65 × 197,663.10
  4. Step 4: Simplify right side
    202,847.10x = 60,143,079,918.02
  5. Step 5: Solve for x
    x = 60,143,079,918.02/202,847.10
  6. Step 6: Final answer
    x = 296,494.65

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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.