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Finding the Fourth Proportional to 541,213.56, 747,024.84 and 314,902.80

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Solution

The fourth proportional to 541,213.56, 747,024.84 and 314,902.80 is: 434,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,213.56 : 747,024.84 = 314,902.80 : x
  2. Step 2: Convert to fraction form
    541,213.56/747,024.84 = 314,902.80/x
  3. Step 3: Cross multiply
    541,213.56x = 747,024.84 × 314,902.80
  4. Step 4: Simplify right side
    541,213.56x = 235,240,213,785.55
  5. Step 5: Solve for x
    x = 235,240,213,785.55/541,213.56
  6. Step 6: Final answer
    x = 434,653.21

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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.