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Finding the Fourth Proportional to 468,116.30, 701,190.30 and 389,384.30

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Solution

The fourth proportional to 468,116.30, 701,190.30 and 389,384.30 is: 583,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,116.30 : 701,190.30 = 389,384.30 : x
  2. Step 2: Convert to fraction form
    468,116.30/701,190.30 = 389,384.30/x
  3. Step 3: Cross multiply
    468,116.30x = 701,190.30 × 389,384.30
  4. Step 4: Simplify right side
    468,116.30x = 273,032,494,132.29
  5. Step 5: Solve for x
    x = 273,032,494,132.29/468,116.30
  6. Step 6: Final answer
    x = 583,257.82

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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.