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Finding the Fourth Proportional to 432,611.27, 596,160.47 and 311,523.97

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Solution

The fourth proportional to 432,611.27, 596,160.47 and 311,523.97 is: 429,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,611.27 : 596,160.47 = 311,523.97 : x
  2. Step 2: Convert to fraction form
    432,611.27/596,160.47 = 311,523.97/x
  3. Step 3: Cross multiply
    432,611.27x = 596,160.47 × 311,523.97
  4. Step 4: Simplify right side
    432,611.27x = 185,718,273,390.66
  5. Step 5: Solve for x
    x = 185,718,273,390.66/432,611.27
  6. Step 6: Final answer
    x = 429,295.97

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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.