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Finding the Fourth Proportional to 585,856.18, 878,471.70 and 277,784.43

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Solution

The fourth proportional to 585,856.18, 878,471.70 and 277,784.43 is: 416,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,856.18 : 878,471.70 = 277,784.43 : x
  2. Step 2: Convert to fraction form
    585,856.18/878,471.70 = 277,784.43/x
  3. Step 3: Cross multiply
    585,856.18x = 878,471.70 × 277,784.43
  4. Step 4: Simplify right side
    585,856.18x = 244,025,756,119.67
  5. Step 5: Solve for x
    x = 244,025,756,119.67/585,856.18
  6. Step 6: Final answer
    x = 416,528.43

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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.