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Finding the Fourth Proportional to 601,634.02, 830,231.16 and 359,772.47

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Solution

The fourth proportional to 601,634.02, 830,231.16 and 359,772.47 is: 496,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,634.02 : 830,231.16 = 359,772.47 : x
  2. Step 2: Convert to fraction form
    601,634.02/830,231.16 = 359,772.47/x
  3. Step 3: Cross multiply
    601,634.02x = 830,231.16 × 359,772.47
  4. Step 4: Simplify right side
    601,634.02x = 298,694,315,104.17
  5. Step 5: Solve for x
    x = 298,694,315,104.17/601,634.02
  6. Step 6: Final answer
    x = 496,471.78

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Why These Related Problems?

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