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Finding the Fourth Proportional to 541,409.30, 747,135.77 and 299,686.67

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Solution

The fourth proportional to 541,409.30, 747,135.77 and 299,686.67 is: 413,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,409.30 : 747,135.77 = 299,686.67 : x
  2. Step 2: Convert to fraction form
    541,409.30/747,135.77 = 299,686.67/x
  3. Step 3: Cross multiply
    541,409.30x = 747,135.77 × 299,686.67
  4. Step 4: Simplify right side
    541,409.30x = 223,906,628,516.83
  5. Step 5: Solve for x
    x = 223,906,628,516.83/541,409.30
  6. Step 6: Final answer
    x = 413,562.58

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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.