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Finding the Fourth Proportional to 454,625.76, 681,065.64 and 254,339.16

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Solution

The fourth proportional to 454,625.76, 681,065.64 and 254,339.16 is: 381,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,625.76 : 681,065.64 = 254,339.16 : x
  2. Step 2: Convert to fraction form
    454,625.76/681,065.64 = 254,339.16/x
  3. Step 3: Cross multiply
    454,625.76x = 681,065.64 × 254,339.16
  4. Step 4: Simplify right side
    454,625.76x = 173,221,662,782.46
  5. Step 5: Solve for x
    x = 173,221,662,782.46/454,625.76
  6. Step 6: Final answer
    x = 381,020.34

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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.