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Finding the Fourth Proportional to 465,470.32, 698,260.16 and 165,993.48

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Solution

The fourth proportional to 465,470.32, 698,260.16 and 165,993.48 is: 249,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,470.32 : 698,260.16 = 165,993.48 : x
  2. Step 2: Convert to fraction form
    465,470.32/698,260.16 = 165,993.48/x
  3. Step 3: Cross multiply
    465,470.32x = 698,260.16 × 165,993.48
  4. Step 4: Simplify right side
    465,470.32x = 115,906,633,903.76
  5. Step 5: Solve for x
    x = 115,906,633,903.76/465,470.32
  6. Step 6: Final answer
    x = 249,009.72

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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.