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Finding the Fourth Proportional to 468,710.30, 703,321.40 and 198,796.46

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Solution

The fourth proportional to 468,710.30, 703,321.40 and 198,796.46 is: 298,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,710.30 : 703,321.40 = 198,796.46 : x
  2. Step 2: Convert to fraction form
    468,710.30/703,321.40 = 198,796.46/x
  3. Step 3: Cross multiply
    468,710.30x = 703,321.40 × 198,796.46
  4. Step 4: Simplify right side
    468,710.30x = 139,817,800,051.66
  5. Step 5: Solve for x
    x = 139,817,800,051.66/468,710.30
  6. Step 6: Final answer
    x = 298,303.24

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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.