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Finding the Fourth Proportional to 384,764.40, 577,059.12 and 184,960.08

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Solution

The fourth proportional to 384,764.40, 577,059.12 and 184,960.08 is: 277,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,764.40 : 577,059.12 = 184,960.08 : x
  2. Step 2: Convert to fraction form
    384,764.40/577,059.12 = 184,960.08/x
  3. Step 3: Cross multiply
    384,764.40x = 577,059.12 × 184,960.08
  4. Step 4: Simplify right side
    384,764.40x = 106,732,900,999.93
  5. Step 5: Solve for x
    x = 106,732,900,999.93/384,764.40
  6. Step 6: Final answer
    x = 277,398.07

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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.