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Finding the Fourth Proportional to 502,904.31, 694,011.56 and 273,459.96

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Solution

The fourth proportional to 502,904.31, 694,011.56 and 273,459.96 is: 377,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,904.31 : 694,011.56 = 273,459.96 : x
  2. Step 2: Convert to fraction form
    502,904.31/694,011.56 = 273,459.96/x
  3. Step 3: Cross multiply
    502,904.31x = 694,011.56 × 273,459.96
  4. Step 4: Simplify right side
    502,904.31x = 189,784,368,599.78
  5. Step 5: Solve for x
    x = 189,784,368,599.78/502,904.31
  6. Step 6: Final answer
    x = 377,376.70

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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.