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Finding the Fourth Proportional to 283,633.12, 391,411.74 and 156,308.86

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Solution

The fourth proportional to 283,633.12, 391,411.74 and 156,308.86 is: 215,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,633.12 : 391,411.74 = 156,308.86 : x
  2. Step 2: Convert to fraction form
    283,633.12/391,411.74 = 156,308.86/x
  3. Step 3: Cross multiply
    283,633.12x = 391,411.74 × 156,308.86
  4. Step 4: Simplify right side
    283,633.12x = 61,181,122,870.02
  5. Step 5: Solve for x
    x = 61,181,122,870.02/283,633.12
  6. Step 6: Final answer
    x = 215,705.14

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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.