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Finding the Fourth Proportional to 407,701.91, 562,910.12 and 254,808.83

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Solution

The fourth proportional to 407,701.91, 562,910.12 and 254,808.83 is: 351,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,701.91 : 562,910.12 = 254,808.83 : x
  2. Step 2: Convert to fraction form
    407,701.91/562,910.12 = 254,808.83/x
  3. Step 3: Cross multiply
    407,701.91x = 562,910.12 × 254,808.83
  4. Step 4: Simplify right side
    407,701.91x = 143,434,466,257.81
  5. Step 5: Solve for x
    x = 143,434,466,257.81/407,701.91
  6. Step 6: Final answer
    x = 351,812.11

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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.