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Finding the Fourth Proportional to 585,817.82, 878,718.53 and 230,834.91

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Solution

The fourth proportional to 585,817.82, 878,718.53 and 230,834.91 is: 346,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,817.82 : 878,718.53 = 230,834.91 : x
  2. Step 2: Convert to fraction form
    585,817.82/878,718.53 = 230,834.91/x
  3. Step 3: Cross multiply
    585,817.82x = 878,718.53 × 230,834.91
  4. Step 4: Simplify right side
    585,817.82x = 202,838,915,361.72
  5. Step 5: Solve for x
    x = 202,838,915,361.72/585,817.82
  6. Step 6: Final answer
    x = 346,249.14

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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.