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Finding the Fourth Proportional to 538,573.86, 743,188.23 and 312,233.94

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Solution

The fourth proportional to 538,573.86, 743,188.23 and 312,233.94 is: 430,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,573.86 : 743,188.23 = 312,233.94 : x
  2. Step 2: Convert to fraction form
    538,573.86/743,188.23 = 312,233.94/x
  3. Step 3: Cross multiply
    538,573.86x = 743,188.23 × 312,233.94
  4. Step 4: Simplify right side
    538,573.86x = 232,048,589,214.53
  5. Step 5: Solve for x
    x = 232,048,589,214.53/538,573.86
  6. Step 6: Final answer
    x = 430,857.50

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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.