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Finding the Fourth Proportional to 400,175.84, 600,219.51 and 100,656.54

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Solution

The fourth proportional to 400,175.84, 600,219.51 and 100,656.54 is: 150,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,175.84 : 600,219.51 = 100,656.54 : x
  2. Step 2: Convert to fraction form
    400,175.84/600,219.51 = 100,656.54/x
  3. Step 3: Cross multiply
    400,175.84x = 600,219.51 × 100,656.54
  4. Step 4: Simplify right side
    400,175.84x = 60,416,019,117.10
  5. Step 5: Solve for x
    x = 60,416,019,117.10/400,175.84
  6. Step 6: Final answer
    x = 150,973.68

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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.