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Finding the Fourth Proportional to 464,896.24, 696,960.06 and 176,648.22

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Solution

The fourth proportional to 464,896.24, 696,960.06 and 176,648.22 is: 264,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,896.24 : 696,960.06 = 176,648.22 : x
  2. Step 2: Convert to fraction form
    464,896.24/696,960.06 = 176,648.22/x
  3. Step 3: Cross multiply
    464,896.24x = 696,960.06 × 176,648.22
  4. Step 4: Simplify right side
    464,896.24x = 123,116,754,010.09
  5. Step 5: Solve for x
    x = 123,116,754,010.09/464,896.24
  6. Step 6: Final answer
    x = 264,826.31

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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.