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Finding the Fourth Proportional to 701,514.87, 967,869.81 and 429,298.98

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Solution

The fourth proportional to 701,514.87, 967,869.81 and 429,298.98 is: 592,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,514.87 : 967,869.81 = 429,298.98 : x
  2. Step 2: Convert to fraction form
    701,514.87/967,869.81 = 429,298.98/x
  3. Step 3: Cross multiply
    701,514.87x = 967,869.81 × 429,298.98
  4. Step 4: Simplify right side
    701,514.87x = 415,505,522,205.79
  5. Step 5: Solve for x
    x = 415,505,522,205.79/701,514.87
  6. Step 6: Final answer
    x = 592,297.53

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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.