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Finding the Fourth Proportional to 412,350.06, 569,045.07 and 269,025.42

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Solution

The fourth proportional to 412,350.06, 569,045.07 and 269,025.42 is: 371,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,350.06 : 569,045.07 = 269,025.42 : x
  2. Step 2: Convert to fraction form
    412,350.06/569,045.07 = 269,025.42/x
  3. Step 3: Cross multiply
    412,350.06x = 569,045.07 × 269,025.42
  4. Step 4: Simplify right side
    412,350.06x = 153,087,588,955.68
  5. Step 5: Solve for x
    x = 153,087,588,955.68/412,350.06
  6. Step 6: Final answer
    x = 371,256.38

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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.