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Finding the Fourth Proportional to 395,964.71, 593,916.05 and 111,643.77

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Solution

The fourth proportional to 395,964.71, 593,916.05 and 111,643.77 is: 167,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,964.71 : 593,916.05 = 111,643.77 : x
  2. Step 2: Convert to fraction form
    395,964.71/593,916.05 = 111,643.77/x
  3. Step 3: Cross multiply
    395,964.71x = 593,916.05 × 111,643.77
  4. Step 4: Simplify right side
    395,964.71x = 66,307,026,327.29
  5. Step 5: Solve for x
    x = 66,307,026,327.29/395,964.71
  6. Step 6: Final answer
    x = 167,456.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.