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Finding the Fourth Proportional to 412,994.69, 618,687.02 and 232,528.49

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Solution

The fourth proportional to 412,994.69, 618,687.02 and 232,528.49 is: 348,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,994.69 : 618,687.02 = 232,528.49 : x
  2. Step 2: Convert to fraction form
    412,994.69/618,687.02 = 232,528.49/x
  3. Step 3: Cross multiply
    412,994.69x = 618,687.02 × 232,528.49
  4. Step 4: Simplify right side
    412,994.69x = 143,862,358,543.20
  5. Step 5: Solve for x
    x = 143,862,358,543.20/412,994.69
  6. Step 6: Final answer
    x = 348,339.49

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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.