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Finding the Fourth Proportional to 284,050.67, 391,998.12 and 156,734.46

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Solution

The fourth proportional to 284,050.67, 391,998.12 and 156,734.46 is: 216,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,050.67 : 391,998.12 = 156,734.46 : x
  2. Step 2: Convert to fraction form
    284,050.67/391,998.12 = 156,734.46/x
  3. Step 3: Cross multiply
    284,050.67x = 391,998.12 × 156,734.46
  4. Step 4: Simplify right side
    284,050.67x = 61,439,613,659.22
  5. Step 5: Solve for x
    x = 61,439,613,659.22/284,050.67
  6. Step 6: Final answer
    x = 216,298.08

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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.