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Finding the Fourth Proportional to 283,642.75, 391,435.10 and 156,326.55

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Solution

The fourth proportional to 283,642.75, 391,435.10 and 156,326.55 is: 215,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,642.75 : 391,435.10 = 156,326.55 : x
  2. Step 2: Convert to fraction form
    283,642.75/391,435.10 = 156,326.55/x
  3. Step 3: Cross multiply
    283,642.75x = 391,435.10 × 156,326.55
  4. Step 4: Simplify right side
    283,642.75x = 61,191,698,731.91
  5. Step 5: Solve for x
    x = 61,191,698,731.91/283,642.75
  6. Step 6: Final answer
    x = 215,735.11

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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.