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Finding the Fourth Proportional to 512,816.10, 769,916.70 and 299,802.30

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Solution

The fourth proportional to 512,816.10, 769,916.70 and 299,802.30 is: 450,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,816.10 : 769,916.70 = 299,802.30 : x
  2. Step 2: Convert to fraction form
    512,816.10/769,916.70 = 299,802.30/x
  3. Step 3: Cross multiply
    512,816.10x = 769,916.70 × 299,802.30
  4. Step 4: Simplify right side
    512,816.10x = 230,822,797,468.41
  5. Step 5: Solve for x
    x = 230,822,797,468.41/512,816.10
  6. Step 6: Final answer
    x = 450,108.33

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1.5x scale

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.