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Finding the Fourth Proportional to 349,411.44, 524,102.40 and 159,762

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Solution

The fourth proportional to 349,411.44, 524,102.40 and 159,762 is: 239,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,411.44 : 524,102.40 = 159,762 : x
  2. Step 2: Convert to fraction form
    349,411.44/524,102.40 = 159,762/x
  3. Step 3: Cross multiply
    349,411.44x = 524,102.40 × 159,762
  4. Step 4: Simplify right side
    349,411.44x = 83,731,647,628.80
  5. Step 5: Solve for x
    x = 83,731,647,628.80/349,411.44
  6. Step 6: Final answer
    x = 239,636.25

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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.