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Finding the Fourth Proportional to 304,847.48, 420,759.50 and 202,877.24

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Solution

The fourth proportional to 304,847.48, 420,759.50 and 202,877.24 is: 280,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,847.48 : 420,759.50 = 202,877.24 : x
  2. Step 2: Convert to fraction form
    304,847.48/420,759.50 = 202,877.24/x
  3. Step 3: Cross multiply
    304,847.48x = 420,759.50 × 202,877.24
  4. Step 4: Simplify right side
    304,847.48x = 85,362,522,945.60
  5. Step 5: Solve for x
    x = 85,362,522,945.60/304,847.48
  6. Step 6: Final answer
    x = 280,017.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.