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Finding the Fourth Proportional to 484,872.78, 727,065.62 and 282,534.24

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Solution

The fourth proportional to 484,872.78, 727,065.62 and 282,534.24 is: 423,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,872.78 : 727,065.62 = 282,534.24 : x
  2. Step 2: Convert to fraction form
    484,872.78/727,065.62 = 282,534.24/x
  3. Step 3: Cross multiply
    484,872.78x = 727,065.62 × 282,534.24
  4. Step 4: Simplify right side
    484,872.78x = 205,420,932,376.83
  5. Step 5: Solve for x
    x = 205,420,932,376.83/484,872.78
  6. Step 6: Final answer
    x = 423,659.44

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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.