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Finding the Fourth Proportional to 283,684.86, 391,486.92 and 156,360.47

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Solution

The fourth proportional to 283,684.86, 391,486.92 and 156,360.47 is: 215,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,684.86 : 391,486.92 = 156,360.47 : x
  2. Step 2: Convert to fraction form
    283,684.86/391,486.92 = 156,360.47/x
  3. Step 3: Cross multiply
    283,684.86x = 391,486.92 × 156,360.47
  4. Step 4: Simplify right side
    283,684.86x = 61,213,076,852.62
  5. Step 5: Solve for x
    x = 61,213,076,852.62/283,684.86
  6. Step 6: Final answer
    x = 215,778.44

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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.