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Finding the Fourth Proportional to 299,115.47, 448,576.16 and 99,382.23

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Solution

The fourth proportional to 299,115.47, 448,576.16 and 99,382.23 is: 149,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,115.47 : 448,576.16 = 99,382.23 : x
  2. Step 2: Convert to fraction form
    299,115.47/448,576.16 = 99,382.23/x
  3. Step 3: Cross multiply
    299,115.47x = 448,576.16 × 99,382.23
  4. Step 4: Simplify right side
    299,115.47x = 44,580,498,608.73
  5. Step 5: Solve for x
    x = 44,580,498,608.73/299,115.47
  6. Step 6: Final answer
    x = 149,041.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.