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Finding the Fourth Proportional to 653,608.16, 980,569.86 and 227,081.91

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Solution

The fourth proportional to 653,608.16, 980,569.86 and 227,081.91 is: 340,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,608.16 : 980,569.86 = 227,081.91 : x
  2. Step 2: Convert to fraction form
    653,608.16/980,569.86 = 227,081.91/x
  3. Step 3: Cross multiply
    653,608.16x = 980,569.86 × 227,081.91
  4. Step 4: Simplify right side
    653,608.16x = 222,669,676,697.23
  5. Step 5: Solve for x
    x = 222,669,676,697.23/653,608.16
  6. Step 6: Final answer
    x = 340,677.63

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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.