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Finding the Fourth Proportional to 490,058.48, 734,897.37 and 190,499.42

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Solution

The fourth proportional to 490,058.48, 734,897.37 and 190,499.42 is: 285,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,058.48 : 734,897.37 = 190,499.42 : x
  2. Step 2: Convert to fraction form
    490,058.48/734,897.37 = 190,499.42/x
  3. Step 3: Cross multiply
    490,058.48x = 734,897.37 × 190,499.42
  4. Step 4: Simplify right side
    490,058.48x = 139,997,522,744.53
  5. Step 5: Solve for x
    x = 139,997,522,744.53/490,058.48
  6. Step 6: Final answer
    x = 285,675.14

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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.