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Finding the Fourth Proportional to 501,407.10, 752,163.36 and 146,422.11

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Solution

The fourth proportional to 501,407.10, 752,163.36 and 146,422.11 is: 219,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,407.10 : 752,163.36 = 146,422.11 : x
  2. Step 2: Convert to fraction form
    501,407.10/752,163.36 = 146,422.11/x
  3. Step 3: Cross multiply
    501,407.10x = 752,163.36 × 146,422.11
  4. Step 4: Simplify right side
    501,407.10x = 110,133,346,235.89
  5. Step 5: Solve for x
    x = 110,133,346,235.89/501,407.10
  6. Step 6: Final answer
    x = 219,648.56

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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.