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Finding the Fourth Proportional to 310,834.88, 466,252.32 and 100,472.82

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Solution

The fourth proportional to 310,834.88, 466,252.32 and 100,472.82 is: 150,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,834.88 : 466,252.32 = 100,472.82 : x
  2. Step 2: Convert to fraction form
    310,834.88/466,252.32 = 100,472.82/x
  3. Step 3: Cross multiply
    310,834.88x = 466,252.32 × 100,472.82
  4. Step 4: Simplify right side
    310,834.88x = 46,845,682,588.32
  5. Step 5: Solve for x
    x = 46,845,682,588.32/310,834.88
  6. Step 6: Final answer
    x = 150,709.22

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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.