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Finding the Fourth Proportional to 471,840.67, 708,065.49 and 172,296.17

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Solution

The fourth proportional to 471,840.67, 708,065.49 and 172,296.17 is: 258,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,840.67 : 708,065.49 = 172,296.17 : x
  2. Step 2: Convert to fraction form
    471,840.67/708,065.49 = 172,296.17/x
  3. Step 3: Cross multiply
    471,840.67x = 708,065.49 × 172,296.17
  4. Step 4: Simplify right side
    471,840.67x = 121,996,968,495.85
  5. Step 5: Solve for x
    x = 121,996,968,495.85/471,840.67
  6. Step 6: Final answer
    x = 258,555.44

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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.