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Finding the Fourth Proportional to 299,303.50, 413,041.24 and 163,338.52

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Solution

The fourth proportional to 299,303.50, 413,041.24 and 163,338.52 is: 225,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,303.50 : 413,041.24 = 163,338.52 : x
  2. Step 2: Convert to fraction form
    299,303.50/413,041.24 = 163,338.52/x
  3. Step 3: Cross multiply
    299,303.50x = 413,041.24 × 163,338.52
  4. Step 4: Simplify right side
    299,303.50x = 67,465,544,840.56
  5. Step 5: Solve for x
    x = 67,465,544,840.56/299,303.50
  6. Step 6: Final answer
    x = 225,408.47

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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.