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Finding the Fourth Proportional to 288,328.02, 397,891.09 and 159,275.38

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Solution

The fourth proportional to 288,328.02, 397,891.09 and 159,275.38 is: 219,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,328.02 : 397,891.09 = 159,275.38 : x
  2. Step 2: Convert to fraction form
    288,328.02/397,891.09 = 159,275.38/x
  3. Step 3: Cross multiply
    288,328.02x = 397,891.09 × 159,275.38
  4. Step 4: Simplify right side
    288,328.02x = 63,374,254,558.36
  5. Step 5: Solve for x
    x = 63,374,254,558.36/288,328.02
  6. Step 6: Final answer
    x = 219,799.15

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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.