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Finding the Fourth Proportional to 502,727.70, 754,451.40 and 182,878.94

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Solution

The fourth proportional to 502,727.70, 754,451.40 and 182,878.94 is: 274,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,727.70 : 754,451.40 = 182,878.94 : x
  2. Step 2: Convert to fraction form
    502,727.70/754,451.40 = 182,878.94/x
  3. Step 3: Cross multiply
    502,727.70x = 754,451.40 × 182,878.94
  4. Step 4: Simplify right side
    502,727.70x = 137,973,272,313.52
  5. Step 5: Solve for x
    x = 137,973,272,313.52/502,727.70
  6. Step 6: Final answer
    x = 274,449.31

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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.