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Finding the Fourth Proportional to 516,016.25, 712,099.67 and 283,447.77

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Solution

The fourth proportional to 516,016.25, 712,099.67 and 283,447.77 is: 391,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,016.25 : 712,099.67 = 283,447.77 : x
  2. Step 2: Convert to fraction form
    516,016.25/712,099.67 = 283,447.77/x
  3. Step 3: Cross multiply
    516,016.25x = 712,099.67 × 283,447.77
  4. Step 4: Simplify right side
    516,016.25x = 201,843,063,479.24
  5. Step 5: Solve for x
    x = 201,843,063,479.24/516,016.25
  6. Step 6: Final answer
    x = 391,156.41

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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.