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Finding the Fourth Proportional to 445,616.84, 668,477.10 and 161,441.20

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Solution

The fourth proportional to 445,616.84, 668,477.10 and 161,441.20 is: 242,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,616.84 : 668,477.10 = 161,441.20 : x
  2. Step 2: Convert to fraction form
    445,616.84/668,477.10 = 161,441.20/x
  3. Step 3: Cross multiply
    445,616.84x = 668,477.10 × 161,441.20
  4. Step 4: Simplify right side
    445,616.84x = 107,919,746,637.52
  5. Step 5: Solve for x
    x = 107,919,746,637.52/445,616.84
  6. Step 6: Final answer
    x = 242,180.58

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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.