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Finding the Fourth Proportional to 232,364.10, 348,546.15 and 206,994.90

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Solution

The fourth proportional to 232,364.10, 348,546.15 and 206,994.90 is: 310,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,364.10 : 348,546.15 = 206,994.90 : x
  2. Step 2: Convert to fraction form
    232,364.10/348,546.15 = 206,994.90/x
  3. Step 3: Cross multiply
    232,364.10x = 348,546.15 × 206,994.90
  4. Step 4: Simplify right side
    232,364.10x = 72,147,275,464.64
  5. Step 5: Solve for x
    x = 72,147,275,464.64/232,364.10
  6. Step 6: Final answer
    x = 310,492.35

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1.5x scale

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.