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Finding the Fourth Proportional to 541,205.74, 746,852.74 and 299,488.15

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Solution

The fourth proportional to 541,205.74, 746,852.74 and 299,488.15 is: 413,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,205.74 : 746,852.74 = 299,488.15 : x
  2. Step 2: Convert to fraction form
    541,205.74/746,852.74 = 299,488.15/x
  3. Step 3: Cross multiply
    541,205.74x = 746,852.74 × 299,488.15
  4. Step 4: Simplify right side
    541,205.74x = 223,673,545,425.03
  5. Step 5: Solve for x
    x = 223,673,545,425.03/541,205.74
  6. Step 6: Final answer
    x = 413,287.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.