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Finding the Fourth Proportional to 411,585.76, 617,402.48 and 158,867.60

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Solution

The fourth proportional to 411,585.76, 617,402.48 and 158,867.60 is: 238,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,585.76 : 617,402.48 = 158,867.60 : x
  2. Step 2: Convert to fraction form
    411,585.76/617,402.48 = 158,867.60/x
  3. Step 3: Cross multiply
    411,585.76x = 617,402.48 × 158,867.60
  4. Step 4: Simplify right side
    411,585.76x = 98,085,250,231.65
  5. Step 5: Solve for x
    x = 98,085,250,231.65/411,585.76
  6. Step 6: Final answer
    x = 238,310.60

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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.