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Finding the Fourth Proportional to 304,031.16, 419,549.90 and 166,207.46

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Solution

The fourth proportional to 304,031.16, 419,549.90 and 166,207.46 is: 229,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,031.16 : 419,549.90 = 166,207.46 : x
  2. Step 2: Convert to fraction form
    304,031.16/419,549.90 = 166,207.46/x
  3. Step 3: Cross multiply
    304,031.16x = 419,549.90 × 166,207.46
  4. Step 4: Simplify right side
    304,031.16x = 69,732,323,222.25
  5. Step 5: Solve for x
    x = 69,732,323,222.25/304,031.16
  6. Step 6: Final answer
    x = 229,359.13

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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.