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Finding the Fourth Proportional to 397,142.13, 548,059.80 and 215,854.47

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Solution

The fourth proportional to 397,142.13, 548,059.80 and 215,854.47 is: 297,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,142.13 : 548,059.80 = 215,854.47 : x
  2. Step 2: Convert to fraction form
    397,142.13/548,059.80 = 215,854.47/x
  3. Step 3: Cross multiply
    397,142.13x = 548,059.80 × 215,854.47
  4. Step 4: Simplify right side
    397,142.13x = 118,301,157,657.31
  5. Step 5: Solve for x
    x = 118,301,157,657.31/397,142.13
  6. Step 6: Final answer
    x = 297,881.16

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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.