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Finding the Fourth Proportional to 585,897.84, 878,621.94 and 282,238.92

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Solution

The fourth proportional to 585,897.84, 878,621.94 and 282,238.92 is: 423,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,897.84 : 878,621.94 = 282,238.92 : x
  2. Step 2: Convert to fraction form
    585,897.84/878,621.94 = 282,238.92/x
  3. Step 3: Cross multiply
    585,897.84x = 878,621.94 × 282,238.92
  4. Step 4: Simplify right side
    585,897.84x = 247,981,307,433.91
  5. Step 5: Solve for x
    x = 247,981,307,433.91/585,897.84
  6. Step 6: Final answer
    x = 423,250.08

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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.