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Finding the Fourth Proportional to 512,182.53, 706,878.77 and 285,875.01

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Solution

The fourth proportional to 512,182.53, 706,878.77 and 285,875.01 is: 394,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,182.53 : 706,878.77 = 285,875.01 : x
  2. Step 2: Convert to fraction form
    512,182.53/706,878.77 = 285,875.01/x
  3. Step 3: Cross multiply
    512,182.53x = 706,878.77 × 285,875.01
  4. Step 4: Simplify right side
    512,182.53x = 202,078,974,013.16
  5. Step 5: Solve for x
    x = 202,078,974,013.16/512,182.53
  6. Step 6: Final answer
    x = 394,544.84

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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.