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Finding the Fourth Proportional to 406,886.40, 561,446.40 and 234,854.40

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Solution

The fourth proportional to 406,886.40, 561,446.40 and 234,854.40 is: 324,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,886.40 : 561,446.40 = 234,854.40 : x
  2. Step 2: Convert to fraction form
    406,886.40/561,446.40 = 234,854.40/x
  3. Step 3: Cross multiply
    406,886.40x = 561,446.40 × 234,854.40
  4. Step 4: Simplify right side
    406,886.40x = 131,858,157,404.16
  5. Step 5: Solve for x
    x = 131,858,157,404.16/406,886.40
  6. Step 6: Final answer
    x = 324,066.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.