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Finding the Fourth Proportional to 465,116.64, 697,677.68 and 165,608.79

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Solution

The fourth proportional to 465,116.64, 697,677.68 and 165,608.79 is: 248,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,116.64 : 697,677.68 = 165,608.79 : x
  2. Step 2: Convert to fraction form
    465,116.64/697,677.68 = 165,608.79/x
  3. Step 3: Cross multiply
    465,116.64x = 697,677.68 × 165,608.79
  4. Step 4: Simplify right side
    465,116.64x = 115,541,556,394.81
  5. Step 5: Solve for x
    x = 115,541,556,394.81/465,116.64
  6. Step 6: Final answer
    x = 248,414.15

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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.