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Finding the Fourth Proportional to 418,573.80, 577,625.04 and 227,592

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Solution

The fourth proportional to 418,573.80, 577,625.04 and 227,592 is: 314,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,573.80 : 577,625.04 = 227,592 : x
  2. Step 2: Convert to fraction form
    418,573.80/577,625.04 = 227,592/x
  3. Step 3: Cross multiply
    418,573.80x = 577,625.04 × 227,592
  4. Step 4: Simplify right side
    418,573.80x = 131,462,838,103.68
  5. Step 5: Solve for x
    x = 131,462,838,103.68/418,573.80
  6. Step 6: Final answer
    x = 314,073.26

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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.