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Finding the Fourth Proportional to 407,834.74, 563,016.44 and 254,957.90

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Solution

The fourth proportional to 407,834.74, 563,016.44 and 254,957.90 is: 351,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,834.74 : 563,016.44 = 254,957.90 : x
  2. Step 2: Convert to fraction form
    407,834.74/563,016.44 = 254,957.90/x
  3. Step 3: Cross multiply
    407,834.74x = 563,016.44 × 254,957.90
  4. Step 4: Simplify right side
    407,834.74x = 143,545,489,207.88
  5. Step 5: Solve for x
    x = 143,545,489,207.88/407,834.74
  6. Step 6: Final answer
    x = 351,969.74

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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.