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Finding the Fourth Proportional to 418,479.80, 577,495.32 and 227,498

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Solution

The fourth proportional to 418,479.80, 577,495.32 and 227,498 is: 313,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,479.80 : 577,495.32 = 227,498 : x
  2. Step 2: Convert to fraction form
    418,479.80/577,495.32 = 227,498/x
  3. Step 3: Cross multiply
    418,479.80x = 577,495.32 × 227,498
  4. Step 4: Simplify right side
    418,479.80x = 131,379,030,309.36
  5. Step 5: Solve for x
    x = 131,379,030,309.36/418,479.80
  6. Step 6: Final answer
    x = 313,943.54

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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.