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Finding the Fourth Proportional to 306,350.56, 459,056.40 and 206,140

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Solution

The fourth proportional to 306,350.56, 459,056.40 and 206,140 is: 308,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,350.56 : 459,056.40 = 206,140 : x
  2. Step 2: Convert to fraction form
    306,350.56/459,056.40 = 206,140/x
  3. Step 3: Cross multiply
    306,350.56x = 459,056.40 × 206,140
  4. Step 4: Simplify right side
    306,350.56x = 94,629,886,296
  5. Step 5: Solve for x
    x = 94,629,886,296/306,350.56
  6. Step 6: Final answer
    x = 308,894.12

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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.