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Finding the Fourth Proportional to 311,851.78, 430,466.04 and 184,527.07

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Solution

The fourth proportional to 311,851.78, 430,466.04 and 184,527.07 is: 254,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,851.78 : 430,466.04 = 184,527.07 : x
  2. Step 2: Convert to fraction form
    311,851.78/430,466.04 = 184,527.07/x
  3. Step 3: Cross multiply
    311,851.78x = 430,466.04 × 184,527.07
  4. Step 4: Simplify right side
    311,851.78x = 79,432,637,095.70
  5. Step 5: Solve for x
    x = 79,432,637,095.70/311,851.78
  6. Step 6: Final answer
    x = 254,712.79

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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.