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Finding the Fourth Proportional to 585,723.84, 878,270.04 and 315,996.60

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Solution

The fourth proportional to 585,723.84, 878,270.04 and 315,996.60 is: 473,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,723.84 : 878,270.04 = 315,996.60 : x
  2. Step 2: Convert to fraction form
    585,723.84/878,270.04 = 315,996.60/x
  3. Step 3: Cross multiply
    585,723.84x = 878,270.04 × 315,996.60
  4. Step 4: Simplify right side
    585,723.84x = 277,530,346,521.86
  5. Step 5: Solve for x
    x = 277,530,346,521.86/585,723.84
  6. Step 6: Final answer
    x = 473,824.57

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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.