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Finding the Fourth Proportional to 519,046.70, 777,731.70 and 293,737.10

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Solution

The fourth proportional to 519,046.70, 777,731.70 and 293,737.10 is: 440,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,046.70 : 777,731.70 = 293,737.10 : x
  2. Step 2: Convert to fraction form
    519,046.70/777,731.70 = 293,737.10/x
  3. Step 3: Cross multiply
    519,046.70x = 777,731.70 × 293,737.10
  4. Step 4: Simplify right side
    519,046.70x = 228,448,654,136.07
  5. Step 5: Solve for x
    x = 228,448,654,136.07/519,046.70
  6. Step 6: Final answer
    x = 440,131.21

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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.