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Finding the Fourth Proportional to 406,811.68, 610,190.16 and 140,575.84

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Solution

The fourth proportional to 406,811.68, 610,190.16 and 140,575.84 is: 210,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,811.68 : 610,190.16 = 140,575.84 : x
  2. Step 2: Convert to fraction form
    406,811.68/610,190.16 = 140,575.84/x
  3. Step 3: Cross multiply
    406,811.68x = 610,190.16 × 140,575.84
  4. Step 4: Simplify right side
    406,811.68x = 85,777,994,301.73
  5. Step 5: Solve for x
    x = 85,777,994,301.73/406,811.68
  6. Step 6: Final answer
    x = 210,854.31

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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.