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Finding the Fourth Proportional to 288,648.63, 398,347.56 and 164,473.47

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Solution

The fourth proportional to 288,648.63, 398,347.56 and 164,473.47 is: 226,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,648.63 : 398,347.56 = 164,473.47 : x
  2. Step 2: Convert to fraction form
    288,648.63/398,347.56 = 164,473.47/x
  3. Step 3: Cross multiply
    288,648.63x = 398,347.56 × 164,473.47
  4. Step 4: Simplify right side
    288,648.63x = 65,517,605,459.23
  5. Step 5: Solve for x
    x = 65,517,605,459.23/288,648.63
  6. Step 6: Final answer
    x = 226,980.48

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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.