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Finding the Fourth Proportional to 305,934.80, 458,610.60 and 238,429.40

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Solution

The fourth proportional to 305,934.80, 458,610.60 and 238,429.40 is: 357,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,934.80 : 458,610.60 = 238,429.40 : x
  2. Step 2: Convert to fraction form
    305,934.80/458,610.60 = 238,429.40/x
  3. Step 3: Cross multiply
    305,934.80x = 458,610.60 × 238,429.40
  4. Step 4: Simplify right side
    305,934.80x = 109,346,250,191.64
  5. Step 5: Solve for x
    x = 109,346,250,191.64/305,934.80
  6. Step 6: Final answer
    x = 357,416.84

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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.