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Finding the Fourth Proportional to 412,703.56, 569,532.90 and 269,378.92

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Solution

The fourth proportional to 412,703.56, 569,532.90 and 269,378.92 is: 371,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,703.56 : 569,532.90 = 269,378.92 : x
  2. Step 2: Convert to fraction form
    412,703.56/569,532.90 = 269,378.92/x
  3. Step 3: Cross multiply
    412,703.56x = 569,532.90 × 269,378.92
  4. Step 4: Simplify right side
    412,703.56x = 153,420,157,506.47
  5. Step 5: Solve for x
    x = 153,420,157,506.47/412,703.56
  6. Step 6: Final answer
    x = 371,744.21

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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.