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Finding the Fourth Proportional to 304,659.39, 420,434.40 and 175,526.61

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Solution

The fourth proportional to 304,659.39, 420,434.40 and 175,526.61 is: 242,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,659.39 : 420,434.40 = 175,526.61 : x
  2. Step 2: Convert to fraction form
    304,659.39/420,434.40 = 175,526.61/x
  3. Step 3: Cross multiply
    304,659.39x = 420,434.40 × 175,526.61
  4. Step 4: Simplify right side
    304,659.39x = 73,797,424,959.38
  5. Step 5: Solve for x
    x = 73,797,424,959.38/304,659.39
  6. Step 6: Final answer
    x = 242,229.28

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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.