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Finding the Fourth Proportional to 585,351.84, 878,014.02 and 269,808.72

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Solution

The fourth proportional to 585,351.84, 878,014.02 and 269,808.72 is: 404,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,351.84 : 878,014.02 = 269,808.72 : x
  2. Step 2: Convert to fraction form
    585,351.84/878,014.02 = 269,808.72/x
  3. Step 3: Cross multiply
    585,351.84x = 878,014.02 × 269,808.72
  4. Step 4: Simplify right side
    585,351.84x = 236,895,838,878.25
  5. Step 5: Solve for x
    x = 236,895,838,878.25/585,351.84
  6. Step 6: Final answer
    x = 404,706.75

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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.