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Finding the Fourth Proportional to 456,505.58, 684,997.19 and 186,833.90

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Solution

The fourth proportional to 456,505.58, 684,997.19 and 186,833.90 is: 280,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,505.58 : 684,997.19 = 186,833.90 : x
  2. Step 2: Convert to fraction form
    456,505.58/684,997.19 = 186,833.90/x
  3. Step 3: Cross multiply
    456,505.58x = 684,997.19 × 186,833.90
  4. Step 4: Simplify right side
    456,505.58x = 127,980,696,496.74
  5. Step 5: Solve for x
    x = 127,980,696,496.74/456,505.58
  6. Step 6: Final answer
    x = 280,348.59

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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.