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Finding the Fourth Proportional to 306,314.84, 459,472.42 and 116,731

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Solution

The fourth proportional to 306,314.84, 459,472.42 and 116,731 is: 175,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,314.84 : 459,472.42 = 116,731 : x
  2. Step 2: Convert to fraction form
    306,314.84/459,472.42 = 116,731/x
  3. Step 3: Cross multiply
    306,314.84x = 459,472.42 × 116,731
  4. Step 4: Simplify right side
    306,314.84x = 53,634,675,059.02
  5. Step 5: Solve for x
    x = 53,634,675,059.02/306,314.84
  6. Step 6: Final answer
    x = 175,096.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.