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Finding the Fourth Proportional to 407,910.84, 562,913.58 and 229,059

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Solution

The fourth proportional to 407,910.84, 562,913.58 and 229,059 is: 316,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,910.84 : 562,913.58 = 229,059 : x
  2. Step 2: Convert to fraction form
    407,910.84/562,913.58 = 229,059/x
  3. Step 3: Cross multiply
    407,910.84x = 562,913.58 × 229,059
  4. Step 4: Simplify right side
    407,910.84x = 128,940,421,721.22
  5. Step 5: Solve for x
    x = 128,940,421,721.22/407,910.84
  6. Step 6: Final answer
    x = 316,099.52

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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.