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Finding the Fourth Proportional to 359,822.30, 539,735.30 and 149,460.44

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Solution

The fourth proportional to 359,822.30, 539,735.30 and 149,460.44 is: 224,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,822.30 : 539,735.30 = 149,460.44 : x
  2. Step 2: Convert to fraction form
    359,822.30/539,735.30 = 149,460.44/x
  3. Step 3: Cross multiply
    359,822.30x = 539,735.30 × 149,460.44
  4. Step 4: Simplify right side
    359,822.30x = 80,669,075,421.53
  5. Step 5: Solve for x
    x = 80,669,075,421.53/359,822.30
  6. Step 6: Final answer
    x = 224,191.43

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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.