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Finding the Fourth Proportional to 306,408.63, 459,686.77 and 96,046.57

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Solution

The fourth proportional to 306,408.63, 459,686.77 and 96,046.57 is: 144,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,408.63 : 459,686.77 = 96,046.57 : x
  2. Step 2: Convert to fraction form
    306,408.63/459,686.77 = 96,046.57/x
  3. Step 3: Cross multiply
    306,408.63x = 459,686.77 × 96,046.57
  4. Step 4: Simplify right side
    306,408.63x = 44,151,337,532.88
  5. Step 5: Solve for x
    x = 44,151,337,532.88/306,408.63
  6. Step 6: Final answer
    x = 144,093.00

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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.