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Finding the Fourth Proportional to 417,080.41, 625,669.25 and 150,966.25

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Solution

The fourth proportional to 417,080.41, 625,669.25 and 150,966.25 is: 226,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,080.41 : 625,669.25 = 150,966.25 : x
  2. Step 2: Convert to fraction form
    417,080.41/625,669.25 = 150,966.25/x
  3. Step 3: Cross multiply
    417,080.41x = 625,669.25 × 150,966.25
  4. Step 4: Simplify right side
    417,080.41x = 94,454,938,093.81
  5. Step 5: Solve for x
    x = 94,454,938,093.81/417,080.41
  6. Step 6: Final answer
    x = 226,466.97

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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.