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Finding the Fourth Proportional to 333,274.96, 459,928.48 and 204,211.20

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Solution

The fourth proportional to 333,274.96, 459,928.48 and 204,211.20 is: 281,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,274.96 : 459,928.48 = 204,211.20 : x
  2. Step 2: Convert to fraction form
    333,274.96/459,928.48 = 204,211.20/x
  3. Step 3: Cross multiply
    333,274.96x = 459,928.48 × 204,211.20
  4. Step 4: Simplify right side
    333,274.96x = 93,922,546,814.98
  5. Step 5: Solve for x
    x = 93,922,546,814.98/333,274.96
  6. Step 6: Final answer
    x = 281,816.99

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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.