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Finding the Fourth Proportional to 541,584.92, 747,410.54 and 299,867.46

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Solution

The fourth proportional to 541,584.92, 747,410.54 and 299,867.46 is: 413,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,584.92 : 747,410.54 = 299,867.46 : x
  2. Step 2: Convert to fraction form
    541,584.92/747,410.54 = 299,867.46/x
  3. Step 3: Cross multiply
    541,584.92x = 747,410.54 × 299,867.46
  4. Step 4: Simplify right side
    541,584.92x = 224,124,098,707.69
  5. Step 5: Solve for x
    x = 224,124,098,707.69/541,584.92
  6. Step 6: Final answer
    x = 413,830.02

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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.