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Finding the Fourth Proportional to 459,501.60, 689,285.34 and 122,540.48

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Solution

The fourth proportional to 459,501.60, 689,285.34 and 122,540.48 is: 183,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,501.60 : 689,285.34 = 122,540.48 : x
  2. Step 2: Convert to fraction form
    459,501.60/689,285.34 = 122,540.48/x
  3. Step 3: Cross multiply
    459,501.60x = 689,285.34 × 122,540.48
  4. Step 4: Simplify right side
    459,501.60x = 84,465,356,420.56
  5. Step 5: Solve for x
    x = 84,465,356,420.56/459,501.60
  6. Step 6: Final answer
    x = 183,819.50

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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.