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Finding the Fourth Proportional to 310,834.83, 466,252.24 and 100,472.77

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Solution

The fourth proportional to 310,834.83, 466,252.24 and 100,472.77 is: 150,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,834.83 : 466,252.24 = 100,472.77 : x
  2. Step 2: Convert to fraction form
    310,834.83/466,252.24 = 100,472.77/x
  3. Step 3: Cross multiply
    310,834.83x = 466,252.24 × 100,472.77
  4. Step 4: Simplify right side
    310,834.83x = 46,845,652,251.44
  5. Step 5: Solve for x
    x = 46,845,652,251.44/310,834.83
  6. Step 6: Final answer
    x = 150,709.15

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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.