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Finding the Fourth Proportional to 468,701.40, 703,028.58 and 165,110.60

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Solution

The fourth proportional to 468,701.40, 703,028.58 and 165,110.60 is: 247,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,701.40 : 703,028.58 = 165,110.60 : x
  2. Step 2: Convert to fraction form
    468,701.40/703,028.58 = 165,110.60/x
  3. Step 3: Cross multiply
    468,701.40x = 703,028.58 × 165,110.60
  4. Step 4: Simplify right side
    468,701.40x = 116,077,472,031.54
  5. Step 5: Solve for x
    x = 116,077,472,031.54/468,701.40
  6. Step 6: Final answer
    x = 247,657.62

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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.