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Finding the Fourth Proportional to 313,552.08, 470,488.96 and 153,624.96

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Solution

The fourth proportional to 313,552.08, 470,488.96 and 153,624.96 is: 230,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,552.08 : 470,488.96 = 153,624.96 : x
  2. Step 2: Convert to fraction form
    313,552.08/470,488.96 = 153,624.96/x
  3. Step 3: Cross multiply
    313,552.08x = 470,488.96 × 153,624.96
  4. Step 4: Simplify right side
    313,552.08x = 72,278,847,660.44
  5. Step 5: Solve for x
    x = 72,278,847,660.44/313,552.08
  6. Step 6: Final answer
    x = 230,516.24

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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.