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Finding the Fourth Proportional to 550,924, 826,828.86 and 284,762.48

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Solution

The fourth proportional to 550,924, 826,828.86 and 284,762.48 is: 427,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,924 : 826,828.86 = 284,762.48 : x
  2. Step 2: Convert to fraction form
    550,924/826,828.86 = 284,762.48/x
  3. Step 3: Cross multiply
    550,924x = 826,828.86 × 284,762.48
  4. Step 4: Simplify right side
    550,924x = 235,449,836,709.17
  5. Step 5: Solve for x
    x = 235,449,836,709.17/550,924
  6. Step 6: Final answer
    x = 427,372.63

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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.