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Finding the Fourth Proportional to 411,962.60, 617,943.90 and 146,023.40

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Solution

The fourth proportional to 411,962.60, 617,943.90 and 146,023.40 is: 219,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,962.60 : 617,943.90 = 146,023.40 : x
  2. Step 2: Convert to fraction form
    411,962.60/617,943.90 = 146,023.40/x
  3. Step 3: Cross multiply
    411,962.60x = 617,943.90 × 146,023.40
  4. Step 4: Simplify right side
    411,962.60x = 90,234,269,287.26
  5. Step 5: Solve for x
    x = 90,234,269,287.26/411,962.60
  6. Step 6: Final answer
    x = 219,035.10

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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.