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Finding the Fourth Proportional to 541,471.76, 747,206.79 and 299,737.25

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Solution

The fourth proportional to 541,471.76, 747,206.79 and 299,737.25 is: 413,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,471.76 : 747,206.79 = 299,737.25 : x
  2. Step 2: Convert to fraction form
    541,471.76/747,206.79 = 299,737.25/x
  3. Step 3: Cross multiply
    541,471.76x = 747,206.79 × 299,737.25
  4. Step 4: Simplify right side
    541,471.76x = 223,965,704,679.89
  5. Step 5: Solve for x
    x = 223,965,704,679.89/541,471.76
  6. Step 6: Final answer
    x = 413,623.98

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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.