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Finding the Fourth Proportional to 469,475.92, 647,866.78 and 265,499.97

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Solution

The fourth proportional to 469,475.92, 647,866.78 and 265,499.97 is: 366,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,475.92 : 647,866.78 = 265,499.97 : x
  2. Step 2: Convert to fraction form
    469,475.92/647,866.78 = 265,499.97/x
  3. Step 3: Cross multiply
    469,475.92x = 647,866.78 × 265,499.97
  4. Step 4: Simplify right side
    469,475.92x = 172,008,610,654.00
  5. Step 5: Solve for x
    x = 172,008,610,654.00/469,475.92
  6. Step 6: Final answer
    x = 366,384.31

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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.