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Finding the Fourth Proportional to 459,993.36, 689,771.52 and 160,437.54

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Solution

The fourth proportional to 459,993.36, 689,771.52 and 160,437.54 is: 240,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,993.36 : 689,771.52 = 160,437.54 : x
  2. Step 2: Convert to fraction form
    459,993.36/689,771.52 = 160,437.54/x
  3. Step 3: Cross multiply
    459,993.36x = 689,771.52 × 160,437.54
  4. Step 4: Simplify right side
    459,993.36x = 110,665,245,830.86
  5. Step 5: Solve for x
    x = 110,665,245,830.86/459,993.36
  6. Step 6: Final answer
    x = 240,580.09

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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.