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Finding the Fourth Proportional to 254,603.70, 382,313.55 and 202,446.90

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Solution

The fourth proportional to 254,603.70, 382,313.55 and 202,446.90 is: 303,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,603.70 : 382,313.55 = 202,446.90 : x
  2. Step 2: Convert to fraction form
    254,603.70/382,313.55 = 202,446.90/x
  3. Step 3: Cross multiply
    254,603.70x = 382,313.55 × 202,446.90
  4. Step 4: Simplify right side
    254,603.70x = 77,398,193,025.50
  5. Step 5: Solve for x
    x = 77,398,193,025.50/254,603.70
  6. Step 6: Final answer
    x = 303,994.77

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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.