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Finding the Fourth Proportional to 538,906.86, 743,681.12 and 297,211.77

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Solution

The fourth proportional to 538,906.86, 743,681.12 and 297,211.77 is: 410,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,906.86 : 743,681.12 = 297,211.77 : x
  2. Step 2: Convert to fraction form
    538,906.86/743,681.12 = 297,211.77/x
  3. Step 3: Cross multiply
    538,906.86x = 743,681.12 × 297,211.77
  4. Step 4: Simplify right side
    538,906.86x = 221,030,780,504.72
  5. Step 5: Solve for x
    x = 221,030,780,504.72/538,906.86
  6. Step 6: Final answer
    x = 410,146.53

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1.5x scale

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.