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Finding the Fourth Proportional to 469,822.40, 703,293.60 and 258,814.40

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Solution

The fourth proportional to 469,822.40, 703,293.60 and 258,814.40 is: 387,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,822.40 : 703,293.60 = 258,814.40 : x
  2. Step 2: Convert to fraction form
    469,822.40/703,293.60 = 258,814.40/x
  3. Step 3: Cross multiply
    469,822.40x = 703,293.60 × 258,814.40
  4. Step 4: Simplify right side
    469,822.40x = 182,022,511,107.84
  5. Step 5: Solve for x
    x = 182,022,511,107.84/469,822.40
  6. Step 6: Final answer
    x = 387,428.34

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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.