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Finding the Fourth Proportional to 411,873.42, 617,792.06 and 112,353.01

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Solution

The fourth proportional to 411,873.42, 617,792.06 and 112,353.01 is: 168,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,873.42 : 617,792.06 = 112,353.01 : x
  2. Step 2: Convert to fraction form
    411,873.42/617,792.06 = 112,353.01/x
  3. Step 3: Cross multiply
    411,873.42x = 617,792.06 × 112,353.01
  4. Step 4: Simplify right side
    411,873.42x = 69,410,793,844.38
  5. Step 5: Solve for x
    x = 69,410,793,844.38/411,873.42
  6. Step 6: Final answer
    x = 168,524.58

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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.