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Finding the Fourth Proportional to 418,350.84, 577,327.98 and 227,364.72

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Solution

The fourth proportional to 418,350.84, 577,327.98 and 227,364.72 is: 313,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,350.84 : 577,327.98 = 227,364.72 : x
  2. Step 2: Convert to fraction form
    418,350.84/577,327.98 = 227,364.72/x
  3. Step 3: Cross multiply
    418,350.84x = 577,327.98 × 227,364.72
  4. Step 4: Simplify right side
    418,350.84x = 131,264,014,520.87
  5. Step 5: Solve for x
    x = 131,264,014,520.87/418,350.84
  6. Step 6: Final answer
    x = 313,765.39

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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.