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Finding the Fourth Proportional to 557,524.81, 769,387.37 and 302,876.61

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Solution

The fourth proportional to 557,524.81, 769,387.37 and 302,876.61 is: 417,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,524.81 : 769,387.37 = 302,876.61 : x
  2. Step 2: Convert to fraction form
    557,524.81/769,387.37 = 302,876.61/x
  3. Step 3: Cross multiply
    557,524.81x = 769,387.37 × 302,876.61
  4. Step 4: Simplify right side
    557,524.81x = 233,029,438,402.42
  5. Step 5: Solve for x
    x = 233,029,438,402.42/557,524.81
  6. Step 6: Final answer
    x = 417,971.42

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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.