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Finding the Fourth Proportional to 306,447.78, 459,745.29 and 96,085.74

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Solution

The fourth proportional to 306,447.78, 459,745.29 and 96,085.74 is: 144,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,447.78 : 459,745.29 = 96,085.74 : x
  2. Step 2: Convert to fraction form
    306,447.78/459,745.29 = 96,085.74/x
  3. Step 3: Cross multiply
    306,447.78x = 459,745.29 × 96,085.74
  4. Step 4: Simplify right side
    306,447.78x = 44,174,966,401.16
  5. Step 5: Solve for x
    x = 44,174,966,401.16/306,447.78
  6. Step 6: Final answer
    x = 144,151.69

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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.