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Finding the Fourth Proportional to 299,013.66, 448,520.48 and 205,235.10

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Solution

The fourth proportional to 299,013.66, 448,520.48 and 205,235.10 is: 307,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,013.66 : 448,520.48 = 205,235.10 : x
  2. Step 2: Convert to fraction form
    299,013.66/448,520.48 = 205,235.10/x
  3. Step 3: Cross multiply
    299,013.66x = 448,520.48 × 205,235.10
  4. Step 4: Simplify right side
    299,013.66x = 92,052,144,538.67
  5. Step 5: Solve for x
    x = 92,052,144,538.67/299,013.66
  6. Step 6: Final answer
    x = 307,852.64

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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.