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Finding the Fourth Proportional to 283,770.72, 391,587.48 and 162,886.32

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Solution

The fourth proportional to 283,770.72, 391,587.48 and 162,886.32 is: 224,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,770.72 : 391,587.48 = 162,886.32 : x
  2. Step 2: Convert to fraction form
    283,770.72/391,587.48 = 162,886.32/x
  3. Step 3: Cross multiply
    283,770.72x = 391,587.48 × 162,886.32
  4. Step 4: Simplify right side
    283,770.72x = 63,784,243,575.27
  5. Step 5: Solve for x
    x = 63,784,243,575.27/283,770.72
  6. Step 6: Final answer
    x = 224,773.87

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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.