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Finding the Fourth Proportional to 538,704, 743,434.56 and 300,240

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Solution

The fourth proportional to 538,704, 743,434.56 and 300,240 is: 414,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,704 : 743,434.56 = 300,240 : x
  2. Step 2: Convert to fraction form
    538,704/743,434.56 = 300,240/x
  3. Step 3: Cross multiply
    538,704x = 743,434.56 × 300,240
  4. Step 4: Simplify right side
    538,704x = 223,208,792,294.40
  5. Step 5: Solve for x
    x = 223,208,792,294.40/538,704
  6. Step 6: Final answer
    x = 414,344.04

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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.