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Finding the Fourth Proportional to 306,711.42, 459,454.50 and 243,638.34

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Solution

The fourth proportional to 306,711.42, 459,454.50 and 243,638.34 is: 364,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,711.42 : 459,454.50 = 243,638.34 : x
  2. Step 2: Convert to fraction form
    306,711.42/459,454.50 = 243,638.34/x
  3. Step 3: Cross multiply
    306,711.42x = 459,454.50 × 243,638.34
  4. Step 4: Simplify right side
    306,711.42x = 111,940,731,685.53
  5. Step 5: Solve for x
    x = 111,940,731,685.53/306,711.42
  6. Step 6: Final answer
    x = 364,970.86

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