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Finding the Fourth Proportional to 412,026.64, 617,943 and 232,190.48

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Solution

The fourth proportional to 412,026.64, 617,943 and 232,190.48 is: 348,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,026.64 : 617,943 = 232,190.48 : x
  2. Step 2: Convert to fraction form
    412,026.64/617,943 = 232,190.48/x
  3. Step 3: Cross multiply
    412,026.64x = 617,943 × 232,190.48
  4. Step 4: Simplify right side
    412,026.64x = 143,480,481,782.64
  5. Step 5: Solve for x
    x = 143,480,481,782.64/412,026.64
  6. Step 6: Final answer
    x = 348,231.08

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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.