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Finding the Fourth Proportional to 518,963.70, 778,372.65 and 164,013.60

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Solution

The fourth proportional to 518,963.70, 778,372.65 and 164,013.60 is: 245,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,963.70 : 778,372.65 = 164,013.60 : x
  2. Step 2: Convert to fraction form
    518,963.70/778,372.65 = 164,013.60/x
  3. Step 3: Cross multiply
    518,963.70x = 778,372.65 × 164,013.60
  4. Step 4: Simplify right side
    518,963.70x = 127,663,700,468.04
  5. Step 5: Solve for x
    x = 127,663,700,468.04/518,963.70
  6. Step 6: Final answer
    x = 245,997.36

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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.