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Finding the Fourth Proportional to 283,833.62, 391,689.78 and 156,509.72

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Solution

The fourth proportional to 283,833.62, 391,689.78 and 156,509.72 is: 215,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,833.62 : 391,689.78 = 156,509.72 : x
  2. Step 2: Convert to fraction form
    283,833.62/391,689.78 = 156,509.72/x
  3. Step 3: Cross multiply
    283,833.62x = 391,689.78 × 156,509.72
  4. Step 4: Simplify right side
    283,833.62x = 61,303,257,794.66
  5. Step 5: Solve for x
    x = 61,303,257,794.66/283,833.62
  6. Step 6: Final answer
    x = 215,983.07

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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.