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Finding the Fourth Proportional to 417,870, 627,054.06 and 151,651.32

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Solution

The fourth proportional to 417,870, 627,054.06 and 151,651.32 is: 227,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,870 : 627,054.06 = 151,651.32 : x
  2. Step 2: Convert to fraction form
    417,870/627,054.06 = 151,651.32/x
  3. Step 3: Cross multiply
    417,870x = 627,054.06 × 151,651.32
  4. Step 4: Simplify right side
    417,870x = 95,093,575,910.36
  5. Step 5: Solve for x
    x = 95,093,575,910.36/417,870
  6. Step 6: Final answer
    x = 227,567.37

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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.