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Finding the Fourth Proportional to 411,207.40, 616,811.10 and 253,743.40

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Solution

The fourth proportional to 411,207.40, 616,811.10 and 253,743.40 is: 380,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,207.40 : 616,811.10 = 253,743.40 : x
  2. Step 2: Convert to fraction form
    411,207.40/616,811.10 = 253,743.40/x
  3. Step 3: Cross multiply
    411,207.40x = 616,811.10 × 253,743.40
  4. Step 4: Simplify right side
    411,207.40x = 156,511,745,671.74
  5. Step 5: Solve for x
    x = 156,511,745,671.74/411,207.40
  6. Step 6: Final answer
    x = 380,615.10

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