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Finding the Fourth Proportional to 501,400.71, 752,153.79 and 146,415.73

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Solution

The fourth proportional to 501,400.71, 752,153.79 and 146,415.73 is: 219,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,400.71 : 752,153.79 = 146,415.73 : x
  2. Step 2: Convert to fraction form
    501,400.71/752,153.79 = 146,415.73/x
  3. Step 3: Cross multiply
    501,400.71x = 752,153.79 × 146,415.73
  4. Step 4: Simplify right side
    501,400.71x = 110,127,147,724.37
  5. Step 5: Solve for x
    x = 110,127,147,724.37/501,400.71
  6. Step 6: Final answer
    x = 219,638.99

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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.