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Finding the Fourth Proportional to 295,324.14, 407,548.56 and 166,264.82

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Solution

The fourth proportional to 295,324.14, 407,548.56 and 166,264.82 is: 229,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,324.14 : 407,548.56 = 166,264.82 : x
  2. Step 2: Convert to fraction form
    295,324.14/407,548.56 = 166,264.82/x
  3. Step 3: Cross multiply
    295,324.14x = 407,548.56 × 166,264.82
  4. Step 4: Simplify right side
    295,324.14x = 67,760,985,931.92
  5. Step 5: Solve for x
    x = 67,760,985,931.92/295,324.14
  6. Step 6: Final answer
    x = 229,446.15

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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.