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Finding the Fourth Proportional to 469,450.71, 647,834.34 and 265,494.00

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Solution

The fourth proportional to 469,450.71, 647,834.34 and 265,494.00 is: 366,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,450.71 : 647,834.34 = 265,494.00 : x
  2. Step 2: Convert to fraction form
    469,450.71/647,834.34 = 265,494.00/x
  3. Step 3: Cross multiply
    469,450.71x = 647,834.34 × 265,494.00
  4. Step 4: Simplify right side
    469,450.71x = 171,996,132,195.54
  5. Step 5: Solve for x
    x = 171,996,132,195.54/469,450.71
  6. Step 6: Final answer
    x = 366,377.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.