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Finding the Fourth Proportional to 274,322.40, 384,313.80 and 274,322.40

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Solution

The fourth proportional to 274,322.40, 384,313.80 and 274,322.40 is: 384,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,322.40 : 384,313.80 = 274,322.40 : x
  2. Step 2: Convert to fraction form
    274,322.40/384,313.80 = 274,322.40/x
  3. Step 3: Cross multiply
    274,322.40x = 384,313.80 × 274,322.40
  4. Step 4: Simplify right side
    274,322.40x = 105,425,883,969.12
  5. Step 5: Solve for x
    x = 105,425,883,969.12/274,322.40
  6. Step 6: Final answer
    x = 384,313.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.