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Finding the Fourth Proportional to 289,612.21, 433,509.49 and 199,126.91

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Solution

The fourth proportional to 289,612.21, 433,509.49 and 199,126.91 is: 298,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,612.21 : 433,509.49 = 199,126.91 : x
  2. Step 2: Convert to fraction form
    289,612.21/433,509.49 = 199,126.91/x
  3. Step 3: Cross multiply
    289,612.21x = 433,509.49 × 199,126.91
  4. Step 4: Simplify right side
    289,612.21x = 86,323,405,199.38
  5. Step 5: Solve for x
    x = 86,323,405,199.38/289,612.21
  6. Step 6: Final answer
    x = 298,065.49

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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.