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Finding the Fourth Proportional to 401,415.18, 553,948.38 and 231,645.66

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Solution

The fourth proportional to 401,415.18, 553,948.38 and 231,645.66 is: 319,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,415.18 : 553,948.38 = 231,645.66 : x
  2. Step 2: Convert to fraction form
    401,415.18/553,948.38 = 231,645.66/x
  3. Step 3: Cross multiply
    401,415.18x = 553,948.38 × 231,645.66
  4. Step 4: Simplify right side
    401,415.18x = 128,319,738,091.03
  5. Step 5: Solve for x
    x = 128,319,738,091.03/401,415.18
  6. Step 6: Final answer
    x = 319,668.37

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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.