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Finding the Fourth Proportional to 437,709.36, 656,641.86 and 149,505.36

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Solution

The fourth proportional to 437,709.36, 656,641.86 and 149,505.36 is: 224,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,709.36 : 656,641.86 = 149,505.36 : x
  2. Step 2: Convert to fraction form
    437,709.36/656,641.86 = 149,505.36/x
  3. Step 3: Cross multiply
    437,709.36x = 656,641.86 × 149,505.36
  4. Step 4: Simplify right side
    437,709.36x = 98,171,477,670.37
  5. Step 5: Solve for x
    x = 98,171,477,670.37/437,709.36
  6. Step 6: Final answer
    x = 224,284.62

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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.