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Finding the Fourth Proportional to 456,244.70, 684,313.77 and 140,674.46

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Solution

The fourth proportional to 456,244.70, 684,313.77 and 140,674.46 is: 210,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,244.70 : 684,313.77 = 140,674.46 : x
  2. Step 2: Convert to fraction form
    456,244.70/684,313.77 = 140,674.46/x
  3. Step 3: Cross multiply
    456,244.70x = 684,313.77 × 140,674.46
  4. Step 4: Simplify right side
    456,244.70x = 96,265,470,065.31
  5. Step 5: Solve for x
    x = 96,265,470,065.31/456,244.70
  6. Step 6: Final answer
    x = 210,995.26

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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.