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Finding the Fourth Proportional to 413,868.52, 620,796.52 and 114,342.40

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Solution

The fourth proportional to 413,868.52, 620,796.52 and 114,342.40 is: 171,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,868.52 : 620,796.52 = 114,342.40 : x
  2. Step 2: Convert to fraction form
    413,868.52/620,796.52 = 114,342.40/x
  3. Step 3: Cross multiply
    413,868.52x = 620,796.52 × 114,342.40
  4. Step 4: Simplify right side
    413,868.52x = 70,983,364,008.45
  5. Step 5: Solve for x
    x = 70,983,364,008.45/413,868.52
  6. Step 6: Final answer
    x = 171,511.87

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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.