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Finding the Fourth Proportional to 464,044.40, 694,511.40 and 408,057.20

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Solution

The fourth proportional to 464,044.40, 694,511.40 and 408,057.20 is: 610,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,044.40 : 694,511.40 = 408,057.20 : x
  2. Step 2: Convert to fraction form
    464,044.40/694,511.40 = 408,057.20/x
  3. Step 3: Cross multiply
    464,044.40x = 694,511.40 × 408,057.20
  4. Step 4: Simplify right side
    464,044.40x = 283,400,377,252.08
  5. Step 5: Solve for x
    x = 283,400,377,252.08/464,044.40
  6. Step 6: Final answer
    x = 610,718.24

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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.