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Finding the Fourth Proportional to 383,133.95, 574,832.21 and 146,544.29

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Solution

The fourth proportional to 383,133.95, 574,832.21 and 146,544.29 is: 219,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,133.95 : 574,832.21 = 146,544.29 : x
  2. Step 2: Convert to fraction form
    383,133.95/574,832.21 = 146,544.29/x
  3. Step 3: Cross multiply
    383,133.95x = 574,832.21 × 146,544.29
  4. Step 4: Simplify right side
    383,133.95x = 84,238,374,476.70
  5. Step 5: Solve for x
    x = 84,238,374,476.70/383,133.95
  6. Step 6: Final answer
    x = 219,866.64

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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.