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Finding the Fourth Proportional to 512,155.89, 706,709.93 and 285,810.93

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Solution

The fourth proportional to 512,155.89, 706,709.93 and 285,810.93 is: 394,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,155.89 : 706,709.93 = 285,810.93 : x
  2. Step 2: Convert to fraction form
    512,155.89/706,709.93 = 285,810.93/x
  3. Step 3: Cross multiply
    512,155.89x = 706,709.93 × 285,810.93
  4. Step 4: Simplify right side
    512,155.89x = 201,985,420,904.48
  5. Step 5: Solve for x
    x = 201,985,420,904.48/512,155.89
  6. Step 6: Final answer
    x = 394,382.70

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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.