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Finding the Fourth Proportional to 565,131.64, 846,868 and 284,262.52

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Solution

The fourth proportional to 565,131.64, 846,868 and 284,262.52 is: 425,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,131.64 : 846,868 = 284,262.52 : x
  2. Step 2: Convert to fraction form
    565,131.64/846,868 = 284,262.52/x
  3. Step 3: Cross multiply
    565,131.64x = 846,868 × 284,262.52
  4. Step 4: Simplify right side
    565,131.64x = 240,732,831,787.36
  5. Step 5: Solve for x
    x = 240,732,831,787.36/565,131.64
  6. Step 6: Final answer
    x = 425,976.56

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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.