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Finding the Fourth Proportional to 305,928.80, 458,601.60 and 238,423.40

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Solution

The fourth proportional to 305,928.80, 458,601.60 and 238,423.40 is: 357,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,928.80 : 458,601.60 = 238,423.40 : x
  2. Step 2: Convert to fraction form
    305,928.80/458,601.60 = 238,423.40/x
  3. Step 3: Cross multiply
    305,928.80x = 458,601.60 × 238,423.40
  4. Step 4: Simplify right side
    305,928.80x = 109,341,352,717.44
  5. Step 5: Solve for x
    x = 109,341,352,717.44/305,928.80
  6. Step 6: Final answer
    x = 357,407.84

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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.