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Finding the Fourth Proportional to 512,183.39, 706,852.17 and 282,784.84

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Solution

The fourth proportional to 512,183.39, 706,852.17 and 282,784.84 is: 390,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,183.39 : 706,852.17 = 282,784.84 : x
  2. Step 2: Convert to fraction form
    512,183.39/706,852.17 = 282,784.84/x
  3. Step 3: Cross multiply
    512,183.39x = 706,852.17 × 282,784.84
  4. Step 4: Simplify right side
    512,183.39x = 199,887,076,029.97
  5. Step 5: Solve for x
    x = 199,887,076,029.97/512,183.39
  6. Step 6: Final answer
    x = 390,264.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.