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Finding the Fourth Proportional to 523,169.27, 721,917.67 and 293,751.77

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Solution

The fourth proportional to 523,169.27, 721,917.67 and 293,751.77 is: 405,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,169.27 : 721,917.67 = 293,751.77 : x
  2. Step 2: Convert to fraction form
    523,169.27/721,917.67 = 293,751.77/x
  3. Step 3: Cross multiply
    523,169.27x = 721,917.67 × 293,751.77
  4. Step 4: Simplify right side
    523,169.27x = 212,064,596,480.95
  5. Step 5: Solve for x
    x = 212,064,596,480.95/523,169.27
  6. Step 6: Final answer
    x = 405,346.05

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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.