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Finding the Fourth Proportional to 340,246.17, 510,411.06 and 115,643.61

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Solution

The fourth proportional to 340,246.17, 510,411.06 and 115,643.61 is: 173,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,246.17 : 510,411.06 = 115,643.61 : x
  2. Step 2: Convert to fraction form
    340,246.17/510,411.06 = 115,643.61/x
  3. Step 3: Cross multiply
    340,246.17x = 510,411.06 × 115,643.61
  4. Step 4: Simplify right side
    340,246.17x = 59,025,777,562.33
  5. Step 5: Solve for x
    x = 59,025,777,562.33/340,246.17
  6. Step 6: Final answer
    x = 173,479.62

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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.