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Finding the Fourth Proportional to 407,262.86, 562,014.14 and 225,970.89

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Solution

The fourth proportional to 407,262.86, 562,014.14 and 225,970.89 is: 311,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,262.86 : 562,014.14 = 225,970.89 : x
  2. Step 2: Convert to fraction form
    407,262.86/562,014.14 = 225,970.89/x
  3. Step 3: Cross multiply
    407,262.86x = 562,014.14 × 225,970.89
  4. Step 4: Simplify right side
    407,262.86x = 126,998,835,408.39
  5. Step 5: Solve for x
    x = 126,998,835,408.39/407,262.86
  6. Step 6: Final answer
    x = 311,835.05

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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.