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Finding the Fourth Proportional to 382,583.80, 574,094.40 and 146,096.20

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Solution

The fourth proportional to 382,583.80, 574,094.40 and 146,096.20 is: 219,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,583.80 : 574,094.40 = 146,096.20 : x
  2. Step 2: Convert to fraction form
    382,583.80/574,094.40 = 146,096.20/x
  3. Step 3: Cross multiply
    382,583.80x = 574,094.40 × 146,096.20
  4. Step 4: Simplify right side
    382,583.80x = 83,873,010,281.28
  5. Step 5: Solve for x
    x = 83,873,010,281.28/382,583.80
  6. Step 6: Final answer
    x = 219,227.81

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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.