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Finding the Fourth Proportional to 313,364.64, 470,046.96 and 113,639.70

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Solution

The fourth proportional to 313,364.64, 470,046.96 and 113,639.70 is: 170,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,364.64 : 470,046.96 = 113,639.70 : x
  2. Step 2: Convert to fraction form
    313,364.64/470,046.96 = 113,639.70/x
  3. Step 3: Cross multiply
    313,364.64x = 470,046.96 × 113,639.70
  4. Step 4: Simplify right side
    313,364.64x = 53,415,995,520.31
  5. Step 5: Solve for x
    x = 53,415,995,520.31/313,364.64
  6. Step 6: Final answer
    x = 170,459.55

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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.