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Finding the Fourth Proportional to 228,713.60, 343,264.80 and 184,390.40

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Solution

The fourth proportional to 228,713.60, 343,264.80 and 184,390.40 is: 276,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,713.60 : 343,264.80 = 184,390.40 : x
  2. Step 2: Convert to fraction form
    228,713.60/343,264.80 = 184,390.40/x
  3. Step 3: Cross multiply
    228,713.60x = 343,264.80 × 184,390.40
  4. Step 4: Simplify right side
    228,713.60x = 63,294,733,777.92
  5. Step 5: Solve for x
    x = 63,294,733,777.92/228,713.60
  6. Step 6: Final answer
    x = 276,742.33

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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.