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Finding the Fourth Proportional to 459,893.54, 689,932.57 and 160,293.67

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Solution

The fourth proportional to 459,893.54, 689,932.57 and 160,293.67 is: 240,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,893.54 : 689,932.57 = 160,293.67 : x
  2. Step 2: Convert to fraction form
    459,893.54/689,932.57 = 160,293.67/x
  3. Step 3: Cross multiply
    459,893.54x = 689,932.57 × 160,293.67
  4. Step 4: Simplify right side
    459,893.54x = 110,591,823,697.83
  5. Step 5: Solve for x
    x = 110,591,823,697.83/459,893.54
  6. Step 6: Final answer
    x = 240,472.66

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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.