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Finding the Fourth Proportional to 227,691.40, 314,493.12 and 170,586.10

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Solution

The fourth proportional to 227,691.40, 314,493.12 and 170,586.10 is: 235,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,691.40 : 314,493.12 = 170,586.10 : x
  2. Step 2: Convert to fraction form
    227,691.40/314,493.12 = 170,586.10/x
  3. Step 3: Cross multiply
    227,691.40x = 314,493.12 × 170,586.10
  4. Step 4: Simplify right side
    227,691.40x = 53,648,154,817.63
  5. Step 5: Solve for x
    x = 53,648,154,817.63/227,691.40
  6. Step 6: Final answer
    x = 235,617.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.