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Finding the Fourth Proportional to 541,358.46, 746,970.93 and 299,629.62

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Solution

The fourth proportional to 541,358.46, 746,970.93 and 299,629.62 is: 413,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,358.46 : 746,970.93 = 299,629.62 : x
  2. Step 2: Convert to fraction form
    541,358.46/746,970.93 = 299,629.62/x
  3. Step 3: Cross multiply
    541,358.46x = 746,970.93 × 299,629.62
  4. Step 4: Simplify right side
    541,358.46x = 223,814,615,906.95
  5. Step 5: Solve for x
    x = 223,814,615,906.95/541,358.46
  6. Step 6: Final answer
    x = 413,431.46

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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.