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Finding the Fourth Proportional to 401,150.86, 553,588.11 and 219,868.61

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Solution

The fourth proportional to 401,150.86, 553,588.11 and 219,868.61 is: 303,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,150.86 : 553,588.11 = 219,868.61 : x
  2. Step 2: Convert to fraction form
    401,150.86/553,588.11 = 219,868.61/x
  3. Step 3: Cross multiply
    401,150.86x = 553,588.11 × 219,868.61
  4. Step 4: Simplify right side
    401,150.86x = 121,716,648,258.23
  5. Step 5: Solve for x
    x = 121,716,648,258.23/401,150.86
  6. Step 6: Final answer
    x = 303,418.64

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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.