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Finding the Fourth Proportional to 364,835.60, 546,961.80 and 154,300.40

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Solution

The fourth proportional to 364,835.60, 546,961.80 and 154,300.40 is: 231,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,835.60 : 546,961.80 = 154,300.40 : x
  2. Step 2: Convert to fraction form
    364,835.60/546,961.80 = 154,300.40/x
  3. Step 3: Cross multiply
    364,835.60x = 546,961.80 × 154,300.40
  4. Step 4: Simplify right side
    364,835.60x = 84,396,424,524.72
  5. Step 5: Solve for x
    x = 84,396,424,524.72/364,835.60
  6. Step 6: Final answer
    x = 231,327.27

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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.