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Finding the Fourth Proportional to 309,302.88, 463,823.01 and 109,673.52

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Solution

The fourth proportional to 309,302.88, 463,823.01 and 109,673.52 is: 164,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,302.88 : 463,823.01 = 109,673.52 : x
  2. Step 2: Convert to fraction form
    309,302.88/463,823.01 = 109,673.52/x
  3. Step 3: Cross multiply
    309,302.88x = 463,823.01 × 109,673.52
  4. Step 4: Simplify right side
    309,302.88x = 50,869,102,163.70
  5. Step 5: Solve for x
    x = 50,869,102,163.70/309,302.88
  6. Step 6: Final answer
    x = 164,463.72

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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.