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Finding the Fourth Proportional to 502,977, 693,756.92 and 341,551.80

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Solution

The fourth proportional to 502,977, 693,756.92 and 341,551.80 is: 471,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,977 : 693,756.92 = 341,551.80 : x
  2. Step 2: Convert to fraction form
    502,977/693,756.92 = 341,551.80/x
  3. Step 3: Cross multiply
    502,977x = 693,756.92 × 341,551.80
  4. Step 4: Simplify right side
    502,977x = 236,953,919,611.91
  5. Step 5: Solve for x
    x = 236,953,919,611.91/502,977
  6. Step 6: Final answer
    x = 471,102.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.