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Finding the Fourth Proportional to 649,712.70, 973,791.45 and 334,007.10

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Solution

The fourth proportional to 649,712.70, 973,791.45 and 334,007.10 is: 500,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,712.70 : 973,791.45 = 334,007.10 : x
  2. Step 2: Convert to fraction form
    649,712.70/973,791.45 = 334,007.10/x
  3. Step 3: Cross multiply
    649,712.70x = 973,791.45 × 334,007.10
  4. Step 4: Simplify right side
    649,712.70x = 325,253,258,219.30
  5. Step 5: Solve for x
    x = 325,253,258,219.30/649,712.70
  6. Step 6: Final answer
    x = 500,610.90

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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.