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Finding the Fourth Proportional to 412,740.34, 618,910.54 and 242,008.75

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Solution

The fourth proportional to 412,740.34, 618,910.54 and 242,008.75 is: 362,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,740.34 : 618,910.54 = 242,008.75 : x
  2. Step 2: Convert to fraction form
    412,740.34/618,910.54 = 242,008.75/x
  3. Step 3: Cross multiply
    412,740.34x = 618,910.54 × 242,008.75
  4. Step 4: Simplify right side
    412,740.34x = 149,781,762,834.47
  5. Step 5: Solve for x
    x = 149,781,762,834.47/412,740.34
  6. Step 6: Final answer
    x = 362,895.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.