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Finding the Fourth Proportional to 417,871, 627,055.56 and 151,652.32

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Solution

The fourth proportional to 417,871, 627,055.56 and 151,652.32 is: 227,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,871 : 627,055.56 = 151,652.32 : x
  2. Step 2: Convert to fraction form
    417,871/627,055.56 = 151,652.32/x
  3. Step 3: Cross multiply
    417,871x = 627,055.56 × 151,652.32
  4. Step 4: Simplify right side
    417,871x = 95,094,430,442.90
  5. Step 5: Solve for x
    x = 95,094,430,442.90/417,871
  6. Step 6: Final answer
    x = 227,568.87

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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.