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Finding the Fourth Proportional to 400,175.34, 600,218.76 and 100,656.04

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Solution

The fourth proportional to 400,175.34, 600,218.76 and 100,656.04 is: 150,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,175.34 : 600,218.76 = 100,656.04 : x
  2. Step 2: Convert to fraction form
    400,175.34/600,218.76 = 100,656.04/x
  3. Step 3: Cross multiply
    400,175.34x = 600,218.76 × 100,656.04
  4. Step 4: Simplify right side
    400,175.34x = 60,415,643,515.31
  5. Step 5: Solve for x
    x = 60,415,643,515.31/400,175.34
  6. Step 6: Final answer
    x = 150,972.93

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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.