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Finding the Fourth Proportional to 502,865.84, 754,296.80 and 203,342.82

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Solution

The fourth proportional to 502,865.84, 754,296.80 and 203,342.82 is: 305,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,865.84 : 754,296.80 = 203,342.82 : x
  2. Step 2: Convert to fraction form
    502,865.84/754,296.80 = 203,342.82/x
  3. Step 3: Cross multiply
    502,865.84x = 754,296.80 × 203,342.82
  4. Step 4: Simplify right side
    502,865.84x = 153,380,837,412.26
  5. Step 5: Solve for x
    x = 153,380,837,412.26/502,865.84
  6. Step 6: Final answer
    x = 305,013.44

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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.