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Finding the Fourth Proportional to 468,298.64, 701,738.40 and 309,959.84

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Solution

The fourth proportional to 468,298.64, 701,738.40 and 309,959.84 is: 464,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,298.64 : 701,738.40 = 309,959.84 : x
  2. Step 2: Convert to fraction form
    468,298.64/701,738.40 = 309,959.84/x
  3. Step 3: Cross multiply
    468,298.64x = 701,738.40 × 309,959.84
  4. Step 4: Simplify right side
    468,298.64x = 217,510,722,185.86
  5. Step 5: Solve for x
    x = 217,510,722,185.86/468,298.64
  6. Step 6: Final answer
    x = 464,470.11

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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.