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Finding the Fourth Proportional to 369,182.46, 509,471.79 and 199,416.60

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Solution

The fourth proportional to 369,182.46, 509,471.79 and 199,416.60 is: 275,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,182.46 : 509,471.79 = 199,416.60 : x
  2. Step 2: Convert to fraction form
    369,182.46/509,471.79 = 199,416.60/x
  3. Step 3: Cross multiply
    369,182.46x = 509,471.79 × 199,416.60
  4. Step 4: Simplify right side
    369,182.46x = 101,597,132,157.71
  5. Step 5: Solve for x
    x = 101,597,132,157.71/369,182.46
  6. Step 6: Final answer
    x = 275,194.91

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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.