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Finding the Fourth Proportional to 306,024.62, 459,000.41 and 81,401.49

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Solution

The fourth proportional to 306,024.62, 459,000.41 and 81,401.49 is: 122,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,024.62 : 459,000.41 = 81,401.49 : x
  2. Step 2: Convert to fraction form
    306,024.62/459,000.41 = 81,401.49/x
  3. Step 3: Cross multiply
    306,024.62x = 459,000.41 × 81,401.49
  4. Step 4: Simplify right side
    306,024.62x = 37,363,316,877.60
  5. Step 5: Solve for x
    x = 37,363,316,877.60/306,024.62
  6. Step 6: Final answer
    x = 122,092.52

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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.