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Finding the Fourth Proportional to 401,076.20, 601,607.88 and 97,472.81

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Solution

The fourth proportional to 401,076.20, 601,607.88 and 97,472.81 is: 146,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,076.20 : 601,607.88 = 97,472.81 : x
  2. Step 2: Convert to fraction form
    401,076.20/601,607.88 = 97,472.81/x
  3. Step 3: Cross multiply
    401,076.20x = 601,607.88 × 97,472.81
  4. Step 4: Simplify right side
    401,076.20x = 58,640,410,581.74
  5. Step 5: Solve for x
    x = 58,640,410,581.74/401,076.20
  6. Step 6: Final answer
    x = 146,207.65

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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.