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Finding the Fourth Proportional to 567,314.60, 850,097.10 and 492,081.80

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Solution

The fourth proportional to 567,314.60, 850,097.10 and 492,081.80 is: 737,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,314.60 : 850,097.10 = 492,081.80 : x
  2. Step 2: Convert to fraction form
    567,314.60/850,097.10 = 492,081.80/x
  3. Step 3: Cross multiply
    567,314.60x = 850,097.10 × 492,081.80
  4. Step 4: Simplify right side
    567,314.60x = 418,317,311,142.78
  5. Step 5: Solve for x
    x = 418,317,311,142.78/567,314.60
  6. Step 6: Final answer
    x = 737,363.91

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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.