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Finding the Fourth Proportional to 289,004.20, 433,506.30 and 240,015.40

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Solution

The fourth proportional to 289,004.20, 433,506.30 and 240,015.40 is: 360,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,004.20 : 433,506.30 = 240,015.40 : x
  2. Step 2: Convert to fraction form
    289,004.20/433,506.30 = 240,015.40/x
  3. Step 3: Cross multiply
    289,004.20x = 433,506.30 × 240,015.40
  4. Step 4: Simplify right side
    289,004.20x = 104,048,187,997.02
  5. Step 5: Solve for x
    x = 104,048,187,997.02/289,004.20
  6. Step 6: Final answer
    x = 360,023.10

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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.