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Finding the Fourth Proportional to 406,684.56, 609,780.60 and 182,003.16

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Solution

The fourth proportional to 406,684.56, 609,780.60 and 182,003.16 is: 272,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,684.56 : 609,780.60 = 182,003.16 : x
  2. Step 2: Convert to fraction form
    406,684.56/609,780.60 = 182,003.16/x
  3. Step 3: Cross multiply
    406,684.56x = 609,780.60 × 182,003.16
  4. Step 4: Simplify right side
    406,684.56x = 110,981,996,106.70
  5. Step 5: Solve for x
    x = 110,981,996,106.70/406,684.56
  6. Step 6: Final answer
    x = 272,894.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.