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Finding the Fourth Proportional to 417,862, 627,042.06 and 151,643.32

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Solution

The fourth proportional to 417,862, 627,042.06 and 151,643.32 is: 227,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,862 : 627,042.06 = 151,643.32 : x
  2. Step 2: Convert to fraction form
    417,862/627,042.06 = 151,643.32/x
  3. Step 3: Cross multiply
    417,862x = 627,042.06 × 151,643.32
  4. Step 4: Simplify right side
    417,862x = 95,086,739,758.04
  5. Step 5: Solve for x
    x = 95,086,739,758.04/417,862
  6. Step 6: Final answer
    x = 227,555.36

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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.