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Finding the Fourth Proportional to 423,506.33, 635,507.36 and 157,450.49

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Solution

The fourth proportional to 423,506.33, 635,507.36 and 157,450.49 is: 236,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,506.33 : 635,507.36 = 157,450.49 : x
  2. Step 2: Convert to fraction form
    423,506.33/635,507.36 = 157,450.49/x
  3. Step 3: Cross multiply
    423,506.33x = 635,507.36 × 157,450.49
  4. Step 4: Simplify right side
    423,506.33x = 100,060,945,230.61
  5. Step 5: Solve for x
    x = 100,060,945,230.61/423,506.33
  6. Step 6: Final answer
    x = 236,267.89

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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.