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Finding the Fourth Proportional to 386,776.34, 580,283.27 and 184,630.40

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Solution

The fourth proportional to 386,776.34, 580,283.27 and 184,630.40 is: 277,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,776.34 : 580,283.27 = 184,630.40 : x
  2. Step 2: Convert to fraction form
    386,776.34/580,283.27 = 184,630.40/x
  3. Step 3: Cross multiply
    386,776.34x = 580,283.27 × 184,630.40
  4. Step 4: Simplify right side
    386,776.34x = 107,137,932,253.41
  5. Step 5: Solve for x
    x = 107,137,932,253.41/386,776.34
  6. Step 6: Final answer
    x = 277,002.29

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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.