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Finding the Fourth Proportional to 306,406.88, 459,684.14 and 96,044.82

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Solution

The fourth proportional to 306,406.88, 459,684.14 and 96,044.82 is: 144,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,406.88 : 459,684.14 = 96,044.82 : x
  2. Step 2: Convert to fraction form
    306,406.88/459,684.14 = 96,044.82/x
  3. Step 3: Cross multiply
    306,406.88x = 459,684.14 × 96,044.82
  4. Step 4: Simplify right side
    306,406.88x = 44,150,280,483.15
  5. Step 5: Solve for x
    x = 44,150,280,483.15/306,406.88
  6. Step 6: Final answer
    x = 144,090.37

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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.