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Finding the Fourth Proportional to 702,753, 1,054,158.66 and 204,117

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Solution

The fourth proportional to 702,753, 1,054,158.66 and 204,117 is: 306,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,753 : 1,054,158.66 = 204,117 : x
  2. Step 2: Convert to fraction form
    702,753/1,054,158.66 = 204,117/x
  3. Step 3: Cross multiply
    702,753x = 1,054,158.66 × 204,117
  4. Step 4: Simplify right side
    702,753x = 215,171,703,203.22
  5. Step 5: Solve for x
    x = 215,171,703,203.22/702,753
  6. Step 6: Final answer
    x = 306,183.97

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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.