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Finding the Fourth Proportional to 515,407.68, 711,298.12 and 289,067.76

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Solution

The fourth proportional to 515,407.68, 711,298.12 and 289,067.76 is: 398,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,407.68 : 711,298.12 = 289,067.76 : x
  2. Step 2: Convert to fraction form
    515,407.68/711,298.12 = 289,067.76/x
  3. Step 3: Cross multiply
    515,407.68x = 711,298.12 × 289,067.76
  4. Step 4: Simplify right side
    515,407.68x = 205,613,354,240.61
  5. Step 5: Solve for x
    x = 205,613,354,240.61/515,407.68
  6. Step 6: Final answer
    x = 398,933.43

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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.