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Finding the Fourth Proportional to 270,683.17, 373,294.58 and 232,429.71

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Solution

The fourth proportional to 270,683.17, 373,294.58 and 232,429.71 is: 320,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,683.17 : 373,294.58 = 232,429.71 : x
  2. Step 2: Convert to fraction form
    270,683.17/373,294.58 = 232,429.71/x
  3. Step 3: Cross multiply
    270,683.17x = 373,294.58 × 232,429.71
  4. Step 4: Simplify right side
    270,683.17x = 86,764,747,945.35
  5. Step 5: Solve for x
    x = 86,764,747,945.35/270,683.17
  6. Step 6: Final answer
    x = 320,539.87

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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.