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Finding the Fourth Proportional to 516,394.24, 712,690.88 and 290,039.76

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Solution

The fourth proportional to 516,394.24, 712,690.88 and 290,039.76 is: 400,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,394.24 : 712,690.88 = 290,039.76 : x
  2. Step 2: Convert to fraction form
    516,394.24/712,690.88 = 290,039.76/x
  3. Step 3: Cross multiply
    516,394.24x = 712,690.88 × 290,039.76
  4. Step 4: Simplify right side
    516,394.24x = 206,708,691,789.39
  5. Step 5: Solve for x
    x = 206,708,691,789.39/516,394.24
  6. Step 6: Final answer
    x = 400,292.40

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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.