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Finding the Fourth Proportional to 309,614.95, 426,873.12 and 200,526.55

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Solution

The fourth proportional to 309,614.95, 426,873.12 and 200,526.55 is: 276,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,614.95 : 426,873.12 = 200,526.55 : x
  2. Step 2: Convert to fraction form
    309,614.95/426,873.12 = 200,526.55/x
  3. Step 3: Cross multiply
    309,614.95x = 426,873.12 × 200,526.55
  4. Step 4: Simplify right side
    309,614.95x = 85,599,394,041.34
  5. Step 5: Solve for x
    x = 85,599,394,041.34/309,614.95
  6. Step 6: Final answer
    x = 276,470.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.