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Finding the Fourth Proportional to 597,781.87, 895,674.31 and 419,970.57

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Solution

The fourth proportional to 597,781.87, 895,674.31 and 419,970.57 is: 629,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,781.87 : 895,674.31 = 419,970.57 : x
  2. Step 2: Convert to fraction form
    597,781.87/895,674.31 = 419,970.57/x
  3. Step 3: Cross multiply
    597,781.87x = 895,674.31 × 419,970.57
  4. Step 4: Simplify right side
    597,781.87x = 376,156,851,134.52
  5. Step 5: Solve for x
    x = 376,156,851,134.52/597,781.87
  6. Step 6: Final answer
    x = 629,254.36

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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.