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Finding the Fourth Proportional to 295,484.40, 442,589.99 and 200,191.78

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Solution

The fourth proportional to 295,484.40, 442,589.99 and 200,191.78 is: 299,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,484.40 : 442,589.99 = 200,191.78 : x
  2. Step 2: Convert to fraction form
    295,484.40/442,589.99 = 200,191.78/x
  3. Step 3: Cross multiply
    295,484.40x = 442,589.99 × 200,191.78
  4. Step 4: Simplify right side
    295,484.40x = 88,602,875,800.85
  5. Step 5: Solve for x
    x = 88,602,875,800.85/295,484.40
  6. Step 6: Final answer
    x = 299,856.36

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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.