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Finding the Fourth Proportional to 585,633.80, 878,489.10 and 164,923.40

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Solution

The fourth proportional to 585,633.80, 878,489.10 and 164,923.40 is: 247,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,633.80 : 878,489.10 = 164,923.40 : x
  2. Step 2: Convert to fraction form
    585,633.80/878,489.10 = 164,923.40/x
  3. Step 3: Cross multiply
    585,633.80x = 878,489.10 × 164,923.40
  4. Step 4: Simplify right side
    585,633.80x = 144,883,409,234.94
  5. Step 5: Solve for x
    x = 144,883,409,234.94/585,633.80
  6. Step 6: Final answer
    x = 247,395.91

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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.