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Finding the Fourth Proportional to 465,475.64, 698,268.13 and 165,998.79

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Solution

The fourth proportional to 465,475.64, 698,268.13 and 165,998.79 is: 249,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,475.64 : 698,268.13 = 165,998.79 : x
  2. Step 2: Convert to fraction form
    465,475.64/698,268.13 = 165,998.79/x
  3. Step 3: Cross multiply
    465,475.64x = 698,268.13 × 165,998.79
  4. Step 4: Simplify right side
    465,475.64x = 115,911,663,845.57
  5. Step 5: Solve for x
    x = 115,911,663,845.57/465,475.64
  6. Step 6: Final answer
    x = 249,017.68

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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.