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Finding the Fourth Proportional to 384,620.85, 577,095.30 and 184,838.40

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Solution

The fourth proportional to 384,620.85, 577,095.30 and 184,838.40 is: 277,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,620.85 : 577,095.30 = 184,838.40 : x
  2. Step 2: Convert to fraction form
    384,620.85/577,095.30 = 184,838.40/x
  3. Step 3: Cross multiply
    384,620.85x = 577,095.30 × 184,838.40
  4. Step 4: Simplify right side
    384,620.85x = 106,669,371,899.52
  5. Step 5: Solve for x
    x = 106,669,371,899.52/384,620.85
  6. Step 6: Final answer
    x = 277,336.43

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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.