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Finding the Fourth Proportional to 411,842.16, 617,774.04 and 141,967.44

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Solution

The fourth proportional to 411,842.16, 617,774.04 and 141,967.44 is: 212,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,842.16 : 617,774.04 = 141,967.44 : x
  2. Step 2: Convert to fraction form
    411,842.16/617,774.04 = 141,967.44/x
  3. Step 3: Cross multiply
    411,842.16x = 617,774.04 × 141,967.44
  4. Step 4: Simplify right side
    411,842.16x = 87,703,798,957.26
  5. Step 5: Solve for x
    x = 87,703,798,957.26/411,842.16
  6. Step 6: Final answer
    x = 212,954.88

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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.