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Finding the Fourth Proportional to 309,484.58, 464,360.49 and 167,429.91

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Solution

The fourth proportional to 309,484.58, 464,360.49 and 167,429.91 is: 251,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,484.58 : 464,360.49 = 167,429.91 : x
  2. Step 2: Convert to fraction form
    309,484.58/464,360.49 = 167,429.91/x
  3. Step 3: Cross multiply
    309,484.58x = 464,360.49 × 167,429.91
  4. Step 4: Simplify right side
    309,484.58x = 77,747,836,047.28
  5. Step 5: Solve for x
    x = 77,747,836,047.28/309,484.58
  6. Step 6: Final answer
    x = 251,217.16

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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.