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Finding the Fourth Proportional to 472,253.22, 708,191.88 and 172,665.54

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Solution

The fourth proportional to 472,253.22, 708,191.88 and 172,665.54 is: 258,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,253.22 : 708,191.88 = 172,665.54 : x
  2. Step 2: Convert to fraction form
    472,253.22/708,191.88 = 172,665.54/x
  3. Step 3: Cross multiply
    472,253.22x = 708,191.88 × 172,665.54
  4. Step 4: Simplify right side
    472,253.22x = 122,280,333,383.82
  5. Step 5: Solve for x
    x = 122,280,333,383.82/472,253.22
  6. Step 6: Final answer
    x = 258,929.59

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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.