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Finding the Fourth Proportional to 382,580.80, 574,089.90 and 146,093.20

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Solution

The fourth proportional to 382,580.80, 574,089.90 and 146,093.20 is: 219,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,580.80 : 574,089.90 = 146,093.20 : x
  2. Step 2: Convert to fraction form
    382,580.80/574,089.90 = 146,093.20/x
  3. Step 3: Cross multiply
    382,580.80x = 574,089.90 × 146,093.20
  4. Step 4: Simplify right side
    382,580.80x = 83,870,630,578.68
  5. Step 5: Solve for x
    x = 83,870,630,578.68/382,580.80
  6. Step 6: Final answer
    x = 219,223.31

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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.