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Finding the Fourth Proportional to 401,681.92, 554,319.36 and 222,833.92

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Solution

The fourth proportional to 401,681.92, 554,319.36 and 222,833.92 is: 307,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,681.92 : 554,319.36 = 222,833.92 : x
  2. Step 2: Convert to fraction form
    401,681.92/554,319.36 = 222,833.92/x
  3. Step 3: Cross multiply
    401,681.92x = 554,319.36 × 222,833.92
  4. Step 4: Simplify right side
    401,681.92x = 123,521,155,920.69
  5. Step 5: Solve for x
    x = 123,521,155,920.69/401,681.92
  6. Step 6: Final answer
    x = 307,509.87

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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.