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Finding the Fourth Proportional to 400,981.77, 601,467.46 and 97,378.41

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Solution

The fourth proportional to 400,981.77, 601,467.46 and 97,378.41 is: 146,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,981.77 : 601,467.46 = 97,378.41 : x
  2. Step 2: Convert to fraction form
    400,981.77/601,467.46 = 97,378.41/x
  3. Step 3: Cross multiply
    400,981.77x = 601,467.46 × 97,378.41
  4. Step 4: Simplify right side
    400,981.77x = 58,569,944,921.54
  5. Step 5: Solve for x
    x = 58,569,944,921.54/400,981.77
  6. Step 6: Final answer
    x = 146,066.36

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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.