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Finding the Fourth Proportional to 275,445.20, 413,167.80 and 213,160.40

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Solution

The fourth proportional to 275,445.20, 413,167.80 and 213,160.40 is: 319,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,445.20 : 413,167.80 = 213,160.40 : x
  2. Step 2: Convert to fraction form
    275,445.20/413,167.80 = 213,160.40/x
  3. Step 3: Cross multiply
    275,445.20x = 413,167.80 × 213,160.40
  4. Step 4: Simplify right side
    275,445.20x = 88,071,013,515.12
  5. Step 5: Solve for x
    x = 88,071,013,515.12/275,445.20
  6. Step 6: Final answer
    x = 319,740.60

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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.