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Finding the Fourth Proportional to 256,838.60, 384,998.70 and 116,697.80

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Solution

The fourth proportional to 256,838.60, 384,998.70 and 116,697.80 is: 174,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,838.60 : 384,998.70 = 116,697.80 : x
  2. Step 2: Convert to fraction form
    256,838.60/384,998.70 = 116,697.80/x
  3. Step 3: Cross multiply
    256,838.60x = 384,998.70 × 116,697.80
  4. Step 4: Simplify right side
    256,838.60x = 44,928,501,292.86
  5. Step 5: Solve for x
    x = 44,928,501,292.86/256,838.60
  6. Step 6: Final answer
    x = 174,928.93

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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.