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Finding the Fourth Proportional to 328,460.70, 492,654.60 and 91,827.30

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Solution

The fourth proportional to 328,460.70, 492,654.60 and 91,827.30 is: 137,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,460.70 : 492,654.60 = 91,827.30 : x
  2. Step 2: Convert to fraction form
    328,460.70/492,654.60 = 91,827.30/x
  3. Step 3: Cross multiply
    328,460.70x = 492,654.60 × 91,827.30
  4. Step 4: Simplify right side
    328,460.70x = 45,239,141,750.58
  5. Step 5: Solve for x
    x = 45,239,141,750.58/328,460.70
  6. Step 6: Final answer
    x = 137,730.76

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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.