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Finding the Fourth Proportional to 292,227.30, 438,859.35 and 225,828.90

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Solution

The fourth proportional to 292,227.30, 438,859.35 and 225,828.90 is: 339,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,227.30 : 438,859.35 = 225,828.90 : x
  2. Step 2: Convert to fraction form
    292,227.30/438,859.35 = 225,828.90/x
  3. Step 3: Cross multiply
    292,227.30x = 438,859.35 × 225,828.90
  4. Step 4: Simplify right side
    292,227.30x = 99,107,124,265.22
  5. Step 5: Solve for x
    x = 99,107,124,265.22/292,227.30
  6. Step 6: Final answer
    x = 339,143.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.