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Finding the Fourth Proportional to 707,898.57, 976,868.50 and 413,575.56

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Solution

The fourth proportional to 707,898.57, 976,868.50 and 413,575.56 is: 570,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,898.57 : 976,868.50 = 413,575.56 : x
  2. Step 2: Convert to fraction form
    707,898.57/976,868.50 = 413,575.56/x
  3. Step 3: Cross multiply
    707,898.57x = 976,868.50 × 413,575.56
  4. Step 4: Simplify right side
    707,898.57x = 404,008,936,933.86
  5. Step 5: Solve for x
    x = 404,008,936,933.86/707,898.57
  6. Step 6: Final answer
    x = 570,715.85

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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.