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Finding the Fourth Proportional to 299,105.68, 448,082.70 and 235,589.80

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Solution

The fourth proportional to 299,105.68, 448,082.70 and 235,589.80 is: 352,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,105.68 : 448,082.70 = 235,589.80 : x
  2. Step 2: Convert to fraction form
    299,105.68/448,082.70 = 235,589.80/x
  3. Step 3: Cross multiply
    299,105.68x = 448,082.70 × 235,589.80
  4. Step 4: Simplify right side
    299,105.68x = 105,563,713,676.46
  5. Step 5: Solve for x
    x = 105,563,713,676.46/299,105.68
  6. Step 6: Final answer
    x = 352,931.16

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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.