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Finding the Fourth Proportional to 295,245.80, 442,868.70 and 200,767.40

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Solution

The fourth proportional to 295,245.80, 442,868.70 and 200,767.40 is: 301,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,245.80 : 442,868.70 = 200,767.40 : x
  2. Step 2: Convert to fraction form
    295,245.80/442,868.70 = 200,767.40/x
  3. Step 3: Cross multiply
    295,245.80x = 442,868.70 × 200,767.40
  4. Step 4: Simplify right side
    295,245.80x = 88,913,597,440.38
  5. Step 5: Solve for x
    x = 88,913,597,440.38/295,245.80
  6. Step 6: Final answer
    x = 301,151.10

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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.