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Finding the Fourth Proportional to 242,599.30, 363,947.55 and 203,427.70

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Solution

The fourth proportional to 242,599.30, 363,947.55 and 203,427.70 is: 305,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,599.30 : 363,947.55 = 203,427.70 : x
  2. Step 2: Convert to fraction form
    242,599.30/363,947.55 = 203,427.70/x
  3. Step 3: Cross multiply
    242,599.30x = 363,947.55 × 203,427.70
  4. Step 4: Simplify right side
    242,599.30x = 74,037,013,017.14
  5. Step 5: Solve for x
    x = 74,037,013,017.14/242,599.30
  6. Step 6: Final answer
    x = 305,182.30

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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.