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Finding the Fourth Proportional to 437,585.37, 656,494.74 and 157,105.05

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Solution

The fourth proportional to 437,585.37, 656,494.74 and 157,105.05 is: 235,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,585.37 : 656,494.74 = 157,105.05 : x
  2. Step 2: Convert to fraction form
    437,585.37/656,494.74 = 157,105.05/x
  3. Step 3: Cross multiply
    437,585.37x = 656,494.74 × 157,105.05
  4. Step 4: Simplify right side
    437,585.37x = 103,138,638,952.44
  5. Step 5: Solve for x
    x = 103,138,638,952.44/437,585.37
  6. Step 6: Final answer
    x = 235,699.47

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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.