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Finding the Fourth Proportional to 400,891.14, 600,914.30 and 148,009.70

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Solution

The fourth proportional to 400,891.14, 600,914.30 and 148,009.70 is: 221,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,891.14 : 600,914.30 = 148,009.70 : x
  2. Step 2: Convert to fraction form
    400,891.14/600,914.30 = 148,009.70/x
  3. Step 3: Cross multiply
    400,891.14x = 600,914.30 × 148,009.70
  4. Step 4: Simplify right side
    400,891.14x = 88,941,142,264.14
  5. Step 5: Solve for x
    x = 88,941,142,264.14/400,891.14
  6. Step 6: Final answer
    x = 221,858.59

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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.