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Finding the Fourth Proportional to 467,975.40, 702,092.70 and 310,511.40

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Solution

The fourth proportional to 467,975.40, 702,092.70 and 310,511.40 is: 465,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,975.40 : 702,092.70 = 310,511.40 : x
  2. Step 2: Convert to fraction form
    467,975.40/702,092.70 = 310,511.40/x
  3. Step 3: Cross multiply
    467,975.40x = 702,092.70 × 310,511.40
  4. Step 4: Simplify right side
    467,975.40x = 218,007,787,206.78
  5. Step 5: Solve for x
    x = 218,007,787,206.78/467,975.40
  6. Step 6: Final answer
    x = 465,853.09

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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.