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Finding the Fourth Proportional to 472,825.52, 709,272.88 and 135,852.56

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Solution

The fourth proportional to 472,825.52, 709,272.88 and 135,852.56 is: 203,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,825.52 : 709,272.88 = 135,852.56 : x
  2. Step 2: Convert to fraction form
    472,825.52/709,272.88 = 135,852.56/x
  3. Step 3: Cross multiply
    472,825.52x = 709,272.88 × 135,852.56
  4. Step 4: Simplify right side
    472,825.52x = 96,356,536,486.57
  5. Step 5: Solve for x
    x = 96,356,536,486.57/472,825.52
  6. Step 6: Final answer
    x = 203,788.78

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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.