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Finding the Fourth Proportional to 283,339, 391,007.82 and 156,014.29

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Solution

The fourth proportional to 283,339, 391,007.82 and 156,014.29 is: 215,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,339 : 391,007.82 = 156,014.29 : x
  2. Step 2: Convert to fraction form
    283,339/391,007.82 = 156,014.29/x
  3. Step 3: Cross multiply
    283,339x = 391,007.82 × 156,014.29
  4. Step 4: Simplify right side
    283,339x = 61,002,807,421.75
  5. Step 5: Solve for x
    x = 61,002,807,421.75/283,339
  6. Step 6: Final answer
    x = 215,299.72

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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.