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Finding the Fourth Proportional to 364,513.60, 546,770.40 and 231,981.40

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Solution

The fourth proportional to 364,513.60, 546,770.40 and 231,981.40 is: 347,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,513.60 : 546,770.40 = 231,981.40 : x
  2. Step 2: Convert to fraction form
    364,513.60/546,770.40 = 231,981.40/x
  3. Step 3: Cross multiply
    364,513.60x = 546,770.40 × 231,981.40
  4. Step 4: Simplify right side
    364,513.60x = 126,840,562,870.56
  5. Step 5: Solve for x
    x = 126,840,562,870.56/364,513.60
  6. Step 6: Final answer
    x = 347,972.10

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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.