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Finding the Fourth Proportional to 472,247.24, 708,182.90 and 172,659.56

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Solution

The fourth proportional to 472,247.24, 708,182.90 and 172,659.56 is: 258,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,247.24 : 708,182.90 = 172,659.56 : x
  2. Step 2: Convert to fraction form
    472,247.24/708,182.90 = 172,659.56/x
  3. Step 3: Cross multiply
    472,247.24x = 708,182.90 × 172,659.56
  4. Step 4: Simplify right side
    472,247.24x = 122,274,547,913.52
  5. Step 5: Solve for x
    x = 122,274,547,913.52/472,247.24
  6. Step 6: Final answer
    x = 258,920.62

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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.