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Finding the Fourth Proportional to 309,484.17, 464,359.88 and 167,429.51

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Solution

The fourth proportional to 309,484.17, 464,359.88 and 167,429.51 is: 251,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,484.17 : 464,359.88 = 167,429.51 : x
  2. Step 2: Convert to fraction form
    309,484.17/464,359.88 = 167,429.51/x
  3. Step 3: Cross multiply
    309,484.17x = 464,359.88 × 167,429.51
  4. Step 4: Simplify right side
    309,484.17x = 77,747,545,268.83
  5. Step 5: Solve for x
    x = 77,747,545,268.83/309,484.17
  6. Step 6: Final answer
    x = 251,216.55

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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.