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Finding the Fourth Proportional to 274,319.40, 384,309.60 and 274,319.40

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Solution

The fourth proportional to 274,319.40, 384,309.60 and 274,319.40 is: 384,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,319.40 : 384,309.60 = 274,319.40 : x
  2. Step 2: Convert to fraction form
    274,319.40/384,309.60 = 274,319.40/x
  3. Step 3: Cross multiply
    274,319.40x = 384,309.60 × 274,319.40
  4. Step 4: Simplify right side
    274,319.40x = 105,423,578,886.24
  5. Step 5: Solve for x
    x = 105,423,578,886.24/274,319.40
  6. Step 6: Final answer
    x = 384,309.60

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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.