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Finding the Fourth Proportional to 465,615.31, 697,838.65 and 199,062.54

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Solution

The fourth proportional to 465,615.31, 697,838.65 and 199,062.54 is: 298,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,615.31 : 697,838.65 = 199,062.54 : x
  2. Step 2: Convert to fraction form
    465,615.31/697,838.65 = 199,062.54/x
  3. Step 3: Cross multiply
    465,615.31x = 697,838.65 × 199,062.54
  4. Step 4: Simplify right side
    465,615.31x = 138,913,534,179.17
  5. Step 5: Solve for x
    x = 138,913,534,179.17/465,615.31
  6. Step 6: Final answer
    x = 298,344.00

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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.