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Finding the Fourth Proportional to 417,850, 627,024.06 and 151,631.29

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Solution

The fourth proportional to 417,850, 627,024.06 and 151,631.29 is: 227,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,850 : 627,024.06 = 151,631.29 : x
  2. Step 2: Convert to fraction form
    417,850/627,024.06 = 151,631.29/x
  3. Step 3: Cross multiply
    417,850x = 627,024.06 × 151,631.29
  4. Step 4: Simplify right side
    417,850x = 95,076,467,078.84
  5. Step 5: Solve for x
    x = 95,076,467,078.84/417,850
  6. Step 6: Final answer
    x = 227,537.32

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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.