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Finding the Fourth Proportional to 316,803.38, 474,023.94 and 313,260.44

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Solution

The fourth proportional to 316,803.38, 474,023.94 and 313,260.44 is: 468,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,803.38 : 474,023.94 = 313,260.44 : x
  2. Step 2: Convert to fraction form
    316,803.38/474,023.94 = 313,260.44/x
  3. Step 3: Cross multiply
    316,803.38x = 474,023.94 × 313,260.44
  4. Step 4: Simplify right side
    316,803.38x = 148,492,948,014.93
  5. Step 5: Solve for x
    x = 148,492,948,014.93/316,803.38
  6. Step 6: Final answer
    x = 468,722.74

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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.