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Finding the Fourth Proportional to 417,171.84, 625,725.04 and 117,640.32

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Solution

The fourth proportional to 417,171.84, 625,725.04 and 117,640.32 is: 176,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,171.84 : 625,725.04 = 117,640.32 : x
  2. Step 2: Convert to fraction form
    417,171.84/625,725.04 = 117,640.32/x
  3. Step 3: Cross multiply
    417,171.84x = 625,725.04 × 117,640.32
  4. Step 4: Simplify right side
    417,171.84x = 73,610,493,937.61
  5. Step 5: Solve for x
    x = 73,610,493,937.61/417,171.84
  6. Step 6: Final answer
    x = 176,451.25

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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.