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Finding the Fourth Proportional to 502,811.84, 754,215.80 and 203,288.82

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Solution

The fourth proportional to 502,811.84, 754,215.80 and 203,288.82 is: 304,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,811.84 : 754,215.80 = 203,288.82 : x
  2. Step 2: Convert to fraction form
    502,811.84/754,215.80 = 203,288.82/x
  3. Step 3: Cross multiply
    502,811.84x = 754,215.80 × 203,288.82
  4. Step 4: Simplify right side
    502,811.84x = 153,323,638,990.91
  5. Step 5: Solve for x
    x = 153,323,638,990.91/502,811.84
  6. Step 6: Final answer
    x = 304,932.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.