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Finding the Fourth Proportional to 369,080.85, 509,331.57 and 199,314.96

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Solution

The fourth proportional to 369,080.85, 509,331.57 and 199,314.96 is: 275,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,080.85 : 509,331.57 = 199,314.96 : x
  2. Step 2: Convert to fraction form
    369,080.85/509,331.57 = 199,314.96/x
  3. Step 3: Cross multiply
    369,080.85x = 509,331.57 × 199,314.96
  4. Step 4: Simplify right side
    369,080.85x = 101,517,401,501.29
  5. Step 5: Solve for x
    x = 101,517,401,501.29/369,080.85
  6. Step 6: Final answer
    x = 275,054.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.