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Finding the Fourth Proportional to 492,828.08, 739,321.86 and 193,146.16

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Solution

The fourth proportional to 492,828.08, 739,321.86 and 193,146.16 is: 289,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,828.08 : 739,321.86 = 193,146.16 : x
  2. Step 2: Convert to fraction form
    492,828.08/739,321.86 = 193,146.16/x
  3. Step 3: Cross multiply
    492,828.08x = 739,321.86 × 193,146.16
  4. Step 4: Simplify right side
    492,828.08x = 142,797,178,263.06
  5. Step 5: Solve for x
    x = 142,797,178,263.06/492,828.08
  6. Step 6: Final answer
    x = 289,750.49

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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.