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Finding the Fourth Proportional to 304,964.97, 420,852.64 and 169,001.16

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Solution

The fourth proportional to 304,964.97, 420,852.64 and 169,001.16 is: 233,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,964.97 : 420,852.64 = 169,001.16 : x
  2. Step 2: Convert to fraction form
    304,964.97/420,852.64 = 169,001.16/x
  3. Step 3: Cross multiply
    304,964.97x = 420,852.64 × 169,001.16
  4. Step 4: Simplify right side
    304,964.97x = 71,124,584,349.06
  5. Step 5: Solve for x
    x = 71,124,584,349.06/304,964.97
  6. Step 6: Final answer
    x = 233,222.14

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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.