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Finding the Fourth Proportional to 412,840.88, 569,841.36 and 269,623.16

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Solution

The fourth proportional to 412,840.88, 569,841.36 and 269,623.16 is: 372,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,840.88 : 569,841.36 = 269,623.16 : x
  2. Step 2: Convert to fraction form
    412,840.88/569,841.36 = 269,623.16/x
  3. Step 3: Cross multiply
    412,840.88x = 569,841.36 × 269,623.16
  4. Step 4: Simplify right side
    412,840.88x = 153,642,428,181.90
  5. Step 5: Solve for x
    x = 153,642,428,181.90/412,840.88
  6. Step 6: Final answer
    x = 372,158.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.