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Finding the Fourth Proportional to 541,406.34, 747,147.33 and 299,711.25

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Solution

The fourth proportional to 541,406.34, 747,147.33 and 299,711.25 is: 413,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,406.34 : 747,147.33 = 299,711.25 : x
  2. Step 2: Convert to fraction form
    541,406.34/747,147.33 = 299,711.25/x
  3. Step 3: Cross multiply
    541,406.34x = 747,147.33 × 299,711.25
  4. Step 4: Simplify right side
    541,406.34x = 223,928,460,208.46
  5. Step 5: Solve for x
    x = 223,928,460,208.46/541,406.34
  6. Step 6: Final answer
    x = 413,605.17

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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.