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Finding the Fourth Proportional to 401,214.98, 601,901.30 and 148,497.66

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Solution

The fourth proportional to 401,214.98, 601,901.30 and 148,497.66 is: 222,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,214.98 : 601,901.30 = 148,497.66 : x
  2. Step 2: Convert to fraction form
    401,214.98/601,901.30 = 148,497.66/x
  3. Step 3: Cross multiply
    401,214.98x = 601,901.30 × 148,497.66
  4. Step 4: Simplify right side
    401,214.98x = 89,380,934,972.20
  5. Step 5: Solve for x
    x = 89,380,934,972.20/401,214.98
  6. Step 6: Final answer
    x = 222,775.67

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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.