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Finding the Fourth Proportional to 459,608.45, 689,412.74 and 122,650.34

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Solution

The fourth proportional to 459,608.45, 689,412.74 and 122,650.34 is: 183,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,608.45 : 689,412.74 = 122,650.34 : x
  2. Step 2: Convert to fraction form
    459,608.45/689,412.74 = 122,650.34/x
  3. Step 3: Cross multiply
    459,608.45x = 689,412.74 × 122,650.34
  4. Step 4: Simplify right side
    459,608.45x = 84,556,702,901.02
  5. Step 5: Solve for x
    x = 84,556,702,901.02/459,608.45
  6. Step 6: Final answer
    x = 183,975.52

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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.