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Finding the Fourth Proportional to 633,624, 950,437.22 and 153,849.78

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Solution

The fourth proportional to 633,624, 950,437.22 and 153,849.78 is: 230,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,624 : 950,437.22 = 153,849.78 : x
  2. Step 2: Convert to fraction form
    633,624/950,437.22 = 153,849.78/x
  3. Step 3: Cross multiply
    633,624x = 950,437.22 × 153,849.78
  4. Step 4: Simplify right side
    633,624x = 146,224,557,200.81
  5. Step 5: Solve for x
    x = 146,224,557,200.81/633,624
  6. Step 6: Final answer
    x = 230,774.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.