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Finding the Fourth Proportional to 291,769.60, 437,654.34 and 92,230.06

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Solution

The fourth proportional to 291,769.60, 437,654.34 and 92,230.06 is: 138,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,769.60 : 437,654.34 = 92,230.06 : x
  2. Step 2: Convert to fraction form
    291,769.60/437,654.34 = 92,230.06/x
  3. Step 3: Cross multiply
    291,769.60x = 437,654.34 × 92,230.06
  4. Step 4: Simplify right side
    291,769.60x = 40,364,886,037.46
  5. Step 5: Solve for x
    x = 40,364,886,037.46/291,769.60
  6. Step 6: Final answer
    x = 138,345.07

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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.