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Finding the Fourth Proportional to 412,937.37, 569,931.37 and 269,448.30

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Solution

The fourth proportional to 412,937.37, 569,931.37 and 269,448.30 is: 371,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,937.37 : 569,931.37 = 269,448.30 : x
  2. Step 2: Convert to fraction form
    412,937.37/569,931.37 = 269,448.30/x
  3. Step 3: Cross multiply
    412,937.37x = 569,931.37 × 269,448.30
  4. Step 4: Simplify right side
    412,937.37x = 153,567,038,763.17
  5. Step 5: Solve for x
    x = 153,567,038,763.17/412,937.37
  6. Step 6: Final answer
    x = 371,889.42

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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.