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Finding the Fourth Proportional to 310,645.94, 465,673.56 and 198,009.96

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Solution

The fourth proportional to 310,645.94, 465,673.56 and 198,009.96 is: 296,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,645.94 : 465,673.56 = 198,009.96 : x
  2. Step 2: Convert to fraction form
    310,645.94/465,673.56 = 198,009.96/x
  3. Step 3: Cross multiply
    310,645.94x = 465,673.56 × 198,009.96
  4. Step 4: Simplify right side
    310,645.94x = 92,208,002,988.66
  5. Step 5: Solve for x
    x = 92,208,002,988.66/310,645.94
  6. Step 6: Final answer
    x = 296,826.68

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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.