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Finding the Fourth Proportional to 306,324.29, 459,486.63 and 95,978.63

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Solution

The fourth proportional to 306,324.29, 459,486.63 and 95,978.63 is: 143,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,324.29 : 459,486.63 = 95,978.63 : x
  2. Step 2: Convert to fraction form
    306,324.29/459,486.63 = 95,978.63/x
  3. Step 3: Cross multiply
    306,324.29x = 459,486.63 × 95,978.63
  4. Step 4: Simplify right side
    306,324.29x = 44,100,894,953.28
  5. Step 5: Solve for x
    x = 44,100,894,953.28/306,324.29
  6. Step 6: Final answer
    x = 143,968.00

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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.