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Finding the Fourth Proportional to 472,938.30, 709,134.39 and 323,359.74

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Solution

The fourth proportional to 472,938.30, 709,134.39 and 323,359.74 is: 484,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,938.30 : 709,134.39 = 323,359.74 : x
  2. Step 2: Convert to fraction form
    472,938.30/709,134.39 = 323,359.74/x
  3. Step 3: Cross multiply
    472,938.30x = 709,134.39 × 323,359.74
  4. Step 4: Simplify right side
    472,938.30x = 229,305,511,975.46
  5. Step 5: Solve for x
    x = 229,305,511,975.46/472,938.30
  6. Step 6: Final answer
    x = 484,852.91

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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.