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Finding the Fourth Proportional to 502,848.96, 693,932.16 and 273,405.12

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Solution

The fourth proportional to 502,848.96, 693,932.16 and 273,405.12 is: 377,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,848.96 : 693,932.16 = 273,405.12 : x
  2. Step 2: Convert to fraction form
    502,848.96/693,932.16 = 273,405.12/x
  3. Step 3: Cross multiply
    502,848.96x = 693,932.16 × 273,405.12
  4. Step 4: Simplify right side
    502,848.96x = 189,724,605,476.66
  5. Step 5: Solve for x
    x = 189,724,605,476.66/502,848.96
  6. Step 6: Final answer
    x = 377,299.39

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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.