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Finding the Fourth Proportional to 311,851.14, 430,465.23 and 184,526.46

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Solution

The fourth proportional to 311,851.14, 430,465.23 and 184,526.46 is: 254,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,851.14 : 430,465.23 = 184,526.46 : x
  2. Step 2: Convert to fraction form
    311,851.14/430,465.23 = 184,526.46/x
  3. Step 3: Cross multiply
    311,851.14x = 430,465.23 × 184,526.46
  4. Step 4: Simplify right side
    311,851.14x = 79,432,225,044.99
  5. Step 5: Solve for x
    x = 79,432,225,044.99/311,851.14
  6. Step 6: Final answer
    x = 254,711.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.