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Finding the Fourth Proportional to 551,633.50, 825,908.64 and 298,005.34

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Solution

The fourth proportional to 551,633.50, 825,908.64 and 298,005.34 is: 446,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,633.50 : 825,908.64 = 298,005.34 : x
  2. Step 2: Convert to fraction form
    551,633.50/825,908.64 = 298,005.34/x
  3. Step 3: Cross multiply
    551,633.50x = 825,908.64 × 298,005.34
  4. Step 4: Simplify right side
    551,633.50x = 246,125,185,072.14
  5. Step 5: Solve for x
    x = 246,125,185,072.14/551,633.50
  6. Step 6: Final answer
    x = 446,175.20

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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.