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Finding the Fourth Proportional to 306,274.97, 459,412.46 and 95,929.31

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Solution

The fourth proportional to 306,274.97, 459,412.46 and 95,929.31 is: 143,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,274.97 : 459,412.46 = 95,929.31 : x
  2. Step 2: Convert to fraction form
    306,274.97/459,412.46 = 95,929.31/x
  3. Step 3: Cross multiply
    306,274.97x = 459,412.46 × 95,929.31
  4. Step 4: Simplify right side
    306,274.97x = 44,071,121,321.82
  5. Step 5: Solve for x
    x = 44,071,121,321.82/306,274.97
  6. Step 6: Final answer
    x = 143,893.97

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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.