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Finding the Fourth Proportional to 467,774.98, 701,749.01 and 148,007.34

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Solution

The fourth proportional to 467,774.98, 701,749.01 and 148,007.34 is: 222,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,774.98 : 701,749.01 = 148,007.34 : x
  2. Step 2: Convert to fraction form
    467,774.98/701,749.01 = 148,007.34/x
  3. Step 3: Cross multiply
    467,774.98x = 701,749.01 × 148,007.34
  4. Step 4: Simplify right side
    467,774.98x = 103,864,004,687.75
  5. Step 5: Solve for x
    x = 103,864,004,687.75/467,774.98
  6. Step 6: Final answer
    x = 222,038.39

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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.