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Finding the Fourth Proportional to 335,314.70, 502,972.05 and 313,007.30

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Solution

The fourth proportional to 335,314.70, 502,972.05 and 313,007.30 is: 469,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,314.70 : 502,972.05 = 313,007.30 : x
  2. Step 2: Convert to fraction form
    335,314.70/502,972.05 = 313,007.30/x
  3. Step 3: Cross multiply
    335,314.70x = 502,972.05 × 313,007.30
  4. Step 4: Simplify right side
    335,314.70x = 157,433,923,345.97
  5. Step 5: Solve for x
    x = 157,433,923,345.97/335,314.70
  6. Step 6: Final answer
    x = 469,510.95

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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.