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Finding the Fourth Proportional to 299,711.10, 448,983.45 and 166,352.70

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Solution

The fourth proportional to 299,711.10, 448,983.45 and 166,352.70 is: 249,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,711.10 : 448,983.45 = 166,352.70 : x
  2. Step 2: Convert to fraction form
    299,711.10/448,983.45 = 166,352.70/x
  3. Step 3: Cross multiply
    299,711.10x = 448,983.45 × 166,352.70
  4. Step 4: Simplify right side
    299,711.10x = 74,689,609,162.82
  5. Step 5: Solve for x
    x = 74,689,609,162.82/299,711.10
  6. Step 6: Final answer
    x = 249,205.35

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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.