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Finding the Fourth Proportional to 416,388.62, 624,489.49 and 191,533.10

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Solution

The fourth proportional to 416,388.62, 624,489.49 and 191,533.10 is: 287,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,388.62 : 624,489.49 = 191,533.10 : x
  2. Step 2: Convert to fraction form
    416,388.62/624,489.49 = 191,533.10/x
  3. Step 3: Cross multiply
    416,388.62x = 624,489.49 × 191,533.10
  4. Step 4: Simplify right side
    416,388.62x = 119,610,407,937.12
  5. Step 5: Solve for x
    x = 119,610,407,937.12/416,388.62
  6. Step 6: Final answer
    x = 287,256.67

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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.