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Finding the Fourth Proportional to 472,414.90, 708,414.57 and 172,817.77

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Solution

The fourth proportional to 472,414.90, 708,414.57 and 172,817.77 is: 259,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,414.90 : 708,414.57 = 172,817.77 : x
  2. Step 2: Convert to fraction form
    472,414.90/708,414.57 = 172,817.77/x
  3. Step 3: Cross multiply
    472,414.90x = 708,414.57 × 172,817.77
  4. Step 4: Simplify right side
    472,414.90x = 122,426,626,222.91
  5. Step 5: Solve for x
    x = 122,426,626,222.91/472,414.90
  6. Step 6: Final answer
    x = 259,150.65

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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.