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Finding the Fourth Proportional to 512,277.14, 706,877.25 and 285,932.18

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Solution

The fourth proportional to 512,277.14, 706,877.25 and 285,932.18 is: 394,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,277.14 : 706,877.25 = 285,932.18 : x
  2. Step 2: Convert to fraction form
    512,277.14/706,877.25 = 285,932.18/x
  3. Step 3: Cross multiply
    512,277.14x = 706,877.25 × 285,932.18
  4. Step 4: Simplify right side
    512,277.14x = 202,118,953,084.91
  5. Step 5: Solve for x
    x = 202,118,953,084.91/512,277.14
  6. Step 6: Final answer
    x = 394,550.01

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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.