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Finding the Fourth Proportional to 502,854.84, 754,280.30 and 203,331.82

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Solution

The fourth proportional to 502,854.84, 754,280.30 and 203,331.82 is: 304,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,854.84 : 754,280.30 = 203,331.82 : x
  2. Step 2: Convert to fraction form
    502,854.84/754,280.30 = 203,331.82/x
  3. Step 3: Cross multiply
    502,854.84x = 754,280.30 × 203,331.82
  4. Step 4: Simplify right side
    502,854.84x = 153,369,185,172.49
  5. Step 5: Solve for x
    x = 153,369,185,172.49/502,854.84
  6. Step 6: Final answer
    x = 304,996.94

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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.