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Finding the Fourth Proportional to 283,969.67, 391,878.14 and 156,645.23

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Solution

The fourth proportional to 283,969.67, 391,878.14 and 156,645.23 is: 216,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,969.67 : 391,878.14 = 156,645.23 : x
  2. Step 2: Convert to fraction form
    283,969.67/391,878.14 = 156,645.23/x
  3. Step 3: Cross multiply
    283,969.67x = 391,878.14 × 156,645.23
  4. Step 4: Simplify right side
    283,969.67x = 61,385,838,629.66
  5. Step 5: Solve for x
    x = 61,385,838,629.66/283,969.67
  6. Step 6: Final answer
    x = 216,170.41

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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.