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Finding the Fourth Proportional to 299,414.70, 448,465.95 and 260,048.70

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Solution

The fourth proportional to 299,414.70, 448,465.95 and 260,048.70 is: 389,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,414.70 : 448,465.95 = 260,048.70 : x
  2. Step 2: Convert to fraction form
    299,414.70/448,465.95 = 260,048.70/x
  3. Step 3: Cross multiply
    299,414.70x = 448,465.95 × 260,048.70
  4. Step 4: Simplify right side
    299,414.70x = 116,622,987,291.77
  5. Step 5: Solve for x
    x = 116,622,987,291.77/299,414.70
  6. Step 6: Final answer
    x = 389,503.21

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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.