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Finding the Fourth Proportional to 400,717.32, 601,017.12 and 151,341

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Solution

The fourth proportional to 400,717.32, 601,017.12 and 151,341 is: 226,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,717.32 : 601,017.12 = 151,341 : x
  2. Step 2: Convert to fraction form
    400,717.32/601,017.12 = 151,341/x
  3. Step 3: Cross multiply
    400,717.32x = 601,017.12 × 151,341
  4. Step 4: Simplify right side
    400,717.32x = 90,958,531,957.92
  5. Step 5: Solve for x
    x = 90,958,531,957.92/400,717.32
  6. Step 6: Final answer
    x = 226,989.27

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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.