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Finding the Fourth Proportional to 395,184.87, 592,777.68 and 184,970.43

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Solution

The fourth proportional to 395,184.87, 592,777.68 and 184,970.43 is: 277,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,184.87 : 592,777.68 = 184,970.43 : x
  2. Step 2: Convert to fraction form
    395,184.87/592,777.68 = 184,970.43/x
  3. Step 3: Cross multiply
    395,184.87x = 592,777.68 × 184,970.43
  4. Step 4: Simplify right side
    395,184.87x = 109,646,342,364.00
  5. Step 5: Solve for x
    x = 109,646,342,364.00/395,184.87
  6. Step 6: Final answer
    x = 277,455.82

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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.