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Finding the Fourth Proportional to 413,870.52, 620,799.52 and 114,344.40

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Solution

The fourth proportional to 413,870.52, 620,799.52 and 114,344.40 is: 171,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,870.52 : 620,799.52 = 114,344.40 : x
  2. Step 2: Convert to fraction form
    413,870.52/620,799.52 = 114,344.40/x
  3. Step 3: Cross multiply
    413,870.52x = 620,799.52 × 114,344.40
  4. Step 4: Simplify right side
    413,870.52x = 70,984,948,634.69
  5. Step 5: Solve for x
    x = 70,984,948,634.69/413,870.52
  6. Step 6: Final answer
    x = 171,514.87

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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.