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Finding the Fourth Proportional to 412,900.50, 569,257.34 and 269,411.42

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Solution

The fourth proportional to 412,900.50, 569,257.34 and 269,411.42 is: 371,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,900.50 : 569,257.34 = 269,411.42 : x
  2. Step 2: Convert to fraction form
    412,900.50/569,257.34 = 269,411.42/x
  3. Step 3: Cross multiply
    412,900.50x = 569,257.34 × 269,411.42
  4. Step 4: Simplify right side
    412,900.50x = 153,364,428,314.82
  5. Step 5: Solve for x
    x = 153,364,428,314.82/412,900.50
  6. Step 6: Final answer
    x = 371,431.93

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1.5x scale

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.