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Finding the Fourth Proportional to 411,470.08, 616,644.60 and 251,602

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Solution

The fourth proportional to 411,470.08, 616,644.60 and 251,602 is: 377,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,470.08 : 616,644.60 = 251,602 : x
  2. Step 2: Convert to fraction form
    411,470.08/616,644.60 = 251,602/x
  3. Step 3: Cross multiply
    411,470.08x = 616,644.60 × 251,602
  4. Step 4: Simplify right side
    411,470.08x = 155,149,014,649.20
  5. Step 5: Solve for x
    x = 155,149,014,649.20/411,470.08
  6. Step 6: Final answer
    x = 377,060.26

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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.