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Finding the Fourth Proportional to 412,951.95, 618,905.43 and 235,558.71

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Solution

The fourth proportional to 412,951.95, 618,905.43 and 235,558.71 is: 353,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,951.95 : 618,905.43 = 235,558.71 : x
  2. Step 2: Convert to fraction form
    412,951.95/618,905.43 = 235,558.71/x
  3. Step 3: Cross multiply
    412,951.95x = 618,905.43 × 235,558.71
  4. Step 4: Simplify right side
    412,951.95x = 145,788,564,702.80
  5. Step 5: Solve for x
    x = 145,788,564,702.80/412,951.95
  6. Step 6: Final answer
    x = 353,040.02

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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.