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Finding the Fourth Proportional to 283,830.88, 391,684.08 and 156,507.52

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Solution

The fourth proportional to 283,830.88, 391,684.08 and 156,507.52 is: 215,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,830.88 : 391,684.08 = 156,507.52 : x
  2. Step 2: Convert to fraction form
    283,830.88/391,684.08 = 156,507.52/x
  3. Step 3: Cross multiply
    283,830.88x = 391,684.08 × 156,507.52
  4. Step 4: Simplify right side
    283,830.88x = 61,301,503,984.28
  5. Step 5: Solve for x
    x = 61,301,503,984.28/283,830.88
  6. Step 6: Final answer
    x = 215,978.98

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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.