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Finding the Fourth Proportional to 516,408.67, 712,665.39 and 286,965.10

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Solution

The fourth proportional to 516,408.67, 712,665.39 and 286,965.10 is: 396,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,408.67 : 712,665.39 = 286,965.10 : x
  2. Step 2: Convert to fraction form
    516,408.67/712,665.39 = 286,965.10/x
  3. Step 3: Cross multiply
    516,408.67x = 712,665.39 × 286,965.10
  4. Step 4: Simplify right side
    516,408.67x = 204,510,094,907.89
  5. Step 5: Solve for x
    x = 204,510,094,907.89/516,408.67
  6. Step 6: Final answer
    x = 396,023.74

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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.