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Finding the Fourth Proportional to 412,190.16, 618,264.72 and 241,508.40

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Solution

The fourth proportional to 412,190.16, 618,264.72 and 241,508.40 is: 362,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,190.16 : 618,264.72 = 241,508.40 : x
  2. Step 2: Convert to fraction form
    412,190.16/618,264.72 = 241,508.40/x
  3. Step 3: Cross multiply
    412,190.16x = 618,264.72 × 241,508.40
  4. Step 4: Simplify right side
    412,190.16x = 149,316,123,303.65
  5. Step 5: Solve for x
    x = 149,316,123,303.65/412,190.16
  6. Step 6: Final answer
    x = 362,250.58

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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.