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Finding the Fourth Proportional to 585,065.40, 878,519.70 and 336,233.40

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Solution

The fourth proportional to 585,065.40, 878,519.70 and 336,233.40 is: 504,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,065.40 : 878,519.70 = 336,233.40 : x
  2. Step 2: Convert to fraction form
    585,065.40/878,519.70 = 336,233.40/x
  3. Step 3: Cross multiply
    585,065.40x = 878,519.70 × 336,233.40
  4. Step 4: Simplify right side
    585,065.40x = 295,387,665,697.98
  5. Step 5: Solve for x
    x = 295,387,665,697.98/585,065.40
  6. Step 6: Final answer
    x = 504,879.74

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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.