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Finding the Fourth Proportional to 400,643.24, 552,866.64 and 219,320.43

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Solution

The fourth proportional to 400,643.24, 552,866.64 and 219,320.43 is: 302,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,643.24 : 552,866.64 = 219,320.43 : x
  2. Step 2: Convert to fraction form
    400,643.24/552,866.64 = 219,320.43/x
  3. Step 3: Cross multiply
    400,643.24x = 552,866.64 × 219,320.43
  4. Step 4: Simplify right side
    400,643.24x = 121,254,949,217.46
  5. Step 5: Solve for x
    x = 121,254,949,217.46/400,643.24
  6. Step 6: Final answer
    x = 302,650.68

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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.