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Finding the Fourth Proportional to 306,976.41, 459,614.40 and 156,893.52

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Solution

The fourth proportional to 306,976.41, 459,614.40 and 156,893.52 is: 234,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,976.41 : 459,614.40 = 156,893.52 : x
  2. Step 2: Convert to fraction form
    306,976.41/459,614.40 = 156,893.52/x
  3. Step 3: Cross multiply
    306,976.41x = 459,614.40 × 156,893.52
  4. Step 4: Simplify right side
    306,976.41x = 72,110,521,058.69
  5. Step 5: Solve for x
    x = 72,110,521,058.69/306,976.41
  6. Step 6: Final answer
    x = 234,905.74

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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.