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Finding the Fourth Proportional to 309,497.66, 464,172.63 and 159,660.82

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Solution

The fourth proportional to 309,497.66, 464,172.63 and 159,660.82 is: 239,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,497.66 : 464,172.63 = 159,660.82 : x
  2. Step 2: Convert to fraction form
    309,497.66/464,172.63 = 159,660.82/x
  3. Step 3: Cross multiply
    309,497.66x = 464,172.63 × 159,660.82
  4. Step 4: Simplify right side
    309,497.66x = 74,110,182,708.84
  5. Step 5: Solve for x
    x = 74,110,182,708.84/309,497.66
  6. Step 6: Final answer
    x = 239,453.13

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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.