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Finding the Fourth Proportional to 283,657.86, 391,447.04 and 156,333.42

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Solution

The fourth proportional to 283,657.86, 391,447.04 and 156,333.42 is: 215,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,657.86 : 391,447.04 = 156,333.42 : x
  2. Step 2: Convert to fraction form
    283,657.86/391,447.04 = 156,333.42/x
  3. Step 3: Cross multiply
    283,657.86x = 391,447.04 × 156,333.42
  4. Step 4: Simplify right side
    283,657.86x = 61,196,253,730.41
  5. Step 5: Solve for x
    x = 61,196,253,730.41/283,657.86
  6. Step 6: Final answer
    x = 215,739.67

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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.