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Finding the Fourth Proportional to 593,036, 889,646.16 and 199,144.16

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Solution

The fourth proportional to 593,036, 889,646.16 and 199,144.16 is: 298,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,036 : 889,646.16 = 199,144.16 : x
  2. Step 2: Convert to fraction form
    593,036/889,646.16 = 199,144.16/x
  3. Step 3: Cross multiply
    593,036x = 889,646.16 × 199,144.16
  4. Step 4: Simplify right side
    593,036x = 177,167,837,230.43
  5. Step 5: Solve for x
    x = 177,167,837,230.43/593,036
  6. Step 6: Final answer
    x = 298,747.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.