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Finding the Fourth Proportional to 399,715.77, 551,639.22 and 227,641.02

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Solution

The fourth proportional to 399,715.77, 551,639.22 and 227,641.02 is: 314,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,715.77 : 551,639.22 = 227,641.02 : x
  2. Step 2: Convert to fraction form
    399,715.77/551,639.22 = 227,641.02/x
  3. Step 3: Cross multiply
    399,715.77x = 551,639.22 × 227,641.02
  4. Step 4: Simplify right side
    399,715.77x = 125,575,714,712.80
  5. Step 5: Solve for x
    x = 125,575,714,712.80/399,715.77
  6. Step 6: Final answer
    x = 314,162.52

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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.