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Finding the Fourth Proportional to 473,227.30, 708,709.32 and 272,940.50

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Solution

The fourth proportional to 473,227.30, 708,709.32 and 272,940.50 is: 408,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,227.30 : 708,709.32 = 272,940.50 : x
  2. Step 2: Convert to fraction form
    473,227.30/708,709.32 = 272,940.50/x
  3. Step 3: Cross multiply
    473,227.30x = 708,709.32 × 272,940.50
  4. Step 4: Simplify right side
    473,227.30x = 193,435,476,155.46
  5. Step 5: Solve for x
    x = 193,435,476,155.46/473,227.30
  6. Step 6: Final answer
    x = 408,758.07

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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.