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Finding the Fourth Proportional to 296,210.58, 408,772.53 and 181,489.47

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Solution

The fourth proportional to 296,210.58, 408,772.53 and 181,489.47 is: 250,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,210.58 : 408,772.53 = 181,489.47 : x
  2. Step 2: Convert to fraction form
    296,210.58/408,772.53 = 181,489.47/x
  3. Step 3: Cross multiply
    296,210.58x = 408,772.53 × 181,489.47
  4. Step 4: Simplify right side
    296,210.58x = 74,187,909,820.26
  5. Step 5: Solve for x
    x = 74,187,909,820.26/296,210.58
  6. Step 6: Final answer
    x = 250,456.65

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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.