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Finding the Fourth Proportional to 585,465.30, 878,363.19 and 164,744.82

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Solution

The fourth proportional to 585,465.30, 878,363.19 and 164,744.82 is: 247,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,465.30 : 878,363.19 = 164,744.82 : x
  2. Step 2: Convert to fraction form
    585,465.30/878,363.19 = 164,744.82/x
  3. Step 3: Cross multiply
    585,465.30x = 878,363.19 × 164,744.82
  4. Step 4: Simplify right side
    585,465.30x = 144,705,785,631.18
  5. Step 5: Solve for x
    x = 144,705,785,631.18/585,465.30
  6. Step 6: Final answer
    x = 247,163.73

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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.