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Finding the Fourth Proportional to 524,087.40, 784,316.70 and 313,876.20

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Solution

The fourth proportional to 524,087.40, 784,316.70 and 313,876.20 is: 469,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,087.40 : 784,316.70 = 313,876.20 : x
  2. Step 2: Convert to fraction form
    524,087.40/784,316.70 = 313,876.20/x
  3. Step 3: Cross multiply
    524,087.40x = 784,316.70 × 313,876.20
  4. Step 4: Simplify right side
    524,087.40x = 246,178,345,392.54
  5. Step 5: Solve for x
    x = 246,178,345,392.54/524,087.40
  6. Step 6: Final answer
    x = 469,727.65

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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.