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Finding the Fourth Proportional to 604,822.75, 907,204.05 and 225,714.50

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Solution

The fourth proportional to 604,822.75, 907,204.05 and 225,714.50 is: 338,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,822.75 : 907,204.05 = 225,714.50 : x
  2. Step 2: Convert to fraction form
    604,822.75/907,204.05 = 225,714.50/x
  3. Step 3: Cross multiply
    604,822.75x = 907,204.05 × 225,714.50
  4. Step 4: Simplify right side
    604,822.75x = 204,769,107,409.72
  5. Step 5: Solve for x
    x = 204,769,107,409.72/604,822.75
  6. Step 6: Final answer
    x = 338,560.53

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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.