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Finding the Fourth Proportional to 314,917.65, 472,234.32 and 90,226.67

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Solution

The fourth proportional to 314,917.65, 472,234.32 and 90,226.67 is: 135,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,917.65 : 472,234.32 = 90,226.67 : x
  2. Step 2: Convert to fraction form
    314,917.65/472,234.32 = 90,226.67/x
  3. Step 3: Cross multiply
    314,917.65x = 472,234.32 × 90,226.67
  4. Step 4: Simplify right side
    314,917.65x = 42,608,127,792.14
  5. Step 5: Solve for x
    x = 42,608,127,792.14/314,917.65
  6. Step 6: Final answer
    x = 135,299.27

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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.