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Finding the Fourth Proportional to 230,415.84, 345,625.92 and 146,262.24

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Solution

The fourth proportional to 230,415.84, 345,625.92 and 146,262.24 is: 219,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,415.84 : 345,625.92 = 146,262.24 : x
  2. Step 2: Convert to fraction form
    230,415.84/345,625.92 = 146,262.24/x
  3. Step 3: Cross multiply
    230,415.84x = 345,625.92 × 146,262.24
  4. Step 4: Simplify right side
    230,415.84x = 50,552,021,261.26
  5. Step 5: Solve for x
    x = 50,552,021,261.26/230,415.84
  6. Step 6: Final answer
    x = 219,394.73

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1.5x scale

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.