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Finding the Fourth Proportional to 314,094.67, 471,194.54 and 246,623.97

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Solution

The fourth proportional to 314,094.67, 471,194.54 and 246,623.97 is: 369,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,094.67 : 471,194.54 = 246,623.97 : x
  2. Step 2: Convert to fraction form
    314,094.67/471,194.54 = 246,623.97/x
  3. Step 3: Cross multiply
    314,094.67x = 471,194.54 × 246,623.97
  4. Step 4: Simplify right side
    314,094.67x = 116,207,868,097.12
  5. Step 5: Solve for x
    x = 116,207,868,097.12/314,094.67
  6. Step 6: Final answer
    x = 369,977.20

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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.