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Finding the Fourth Proportional to 314,034.60, 470,862.24 and 140,894.73

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Solution

The fourth proportional to 314,034.60, 470,862.24 and 140,894.73 is: 211,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,034.60 : 470,862.24 = 140,894.73 : x
  2. Step 2: Convert to fraction form
    314,034.60/470,862.24 = 140,894.73/x
  3. Step 3: Cross multiply
    314,034.60x = 470,862.24 × 140,894.73
  4. Step 4: Simplify right side
    314,034.60x = 66,342,008,172.00
  5. Step 5: Solve for x
    x = 66,342,008,172.00/314,034.60
  6. Step 6: Final answer
    x = 211,257.00

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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.