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Finding the Fourth Proportional to 306,072.40, 459,173.40 and 92,822.80

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Solution

The fourth proportional to 306,072.40, 459,173.40 and 92,822.80 is: 139,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,072.40 : 459,173.40 = 92,822.80 : x
  2. Step 2: Convert to fraction form
    306,072.40/459,173.40 = 92,822.80/x
  3. Step 3: Cross multiply
    306,072.40x = 459,173.40 × 92,822.80
  4. Step 4: Simplify right side
    306,072.40x = 42,621,760,673.52
  5. Step 5: Solve for x
    x = 42,621,760,673.52/306,072.40
  6. Step 6: Final answer
    x = 139,253.85

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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.