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Finding the Fourth Proportional to 550,920.98, 826,824.36 and 284,759.48

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Solution

The fourth proportional to 550,920.98, 826,824.36 and 284,759.48 is: 427,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,920.98 : 826,824.36 = 284,759.48 : x
  2. Step 2: Convert to fraction form
    550,920.98/826,824.36 = 284,759.48/x
  3. Step 3: Cross multiply
    550,920.98x = 826,824.36 × 284,759.48
  4. Step 4: Simplify right side
    550,920.98x = 235,446,074,804.93
  5. Step 5: Solve for x
    x = 235,446,074,804.93/550,920.98
  6. Step 6: Final answer
    x = 427,368.14

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1.5x scale

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.