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Finding the Fourth Proportional to 289,216.17, 433,259.27 and 199,242.99

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Solution

The fourth proportional to 289,216.17, 433,259.27 and 199,242.99 is: 298,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,216.17 : 433,259.27 = 199,242.99 : x
  2. Step 2: Convert to fraction form
    289,216.17/433,259.27 = 199,242.99/x
  3. Step 3: Cross multiply
    289,216.17x = 433,259.27 × 199,242.99
  4. Step 4: Simplify right side
    289,216.17x = 86,323,872,400.02
  5. Step 5: Solve for x
    x = 86,323,872,400.02/289,216.17
  6. Step 6: Final answer
    x = 298,475.26

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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.