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Finding the Fourth Proportional to 469,085.68, 647,320.90 and 254,221.13

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Solution

The fourth proportional to 469,085.68, 647,320.90 and 254,221.13 is: 350,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,085.68 : 647,320.90 = 254,221.13 : x
  2. Step 2: Convert to fraction form
    469,085.68/647,320.90 = 254,221.13/x
  3. Step 3: Cross multiply
    469,085.68x = 647,320.90 × 254,221.13
  4. Step 4: Simplify right side
    469,085.68x = 164,562,646,162.91
  5. Step 5: Solve for x
    x = 164,562,646,162.91/469,085.68
  6. Step 6: Final answer
    x = 350,815.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.