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Finding the Fourth Proportional to 417,917.50, 576,726.18 and 239,069.50

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Solution

The fourth proportional to 417,917.50, 576,726.18 and 239,069.50 is: 329,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,917.50 : 576,726.18 = 239,069.50 : x
  2. Step 2: Convert to fraction form
    417,917.50/576,726.18 = 239,069.50/x
  3. Step 3: Cross multiply
    417,917.50x = 576,726.18 × 239,069.50
  4. Step 4: Simplify right side
    417,917.50x = 137,877,639,489.51
  5. Step 5: Solve for x
    x = 137,877,639,489.51/417,917.50
  6. Step 6: Final answer
    x = 329,915.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.