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Finding the Fourth Proportional to 1,004,208.03, 1,506,311.24 and 256,254.03

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Solution

The fourth proportional to 1,004,208.03, 1,506,311.24 and 256,254.03 is: 384,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,208.03 : 1,506,311.24 = 256,254.03 : x
  2. Step 2: Convert to fraction form
    1,004,208.03/1,506,311.24 = 256,254.03/x
  3. Step 3: Cross multiply
    1,004,208.03x = 1,506,311.24 × 256,254.03
  4. Step 4: Simplify right side
    1,004,208.03x = 385,998,324,403.03
  5. Step 5: Solve for x
    x = 385,998,324,403.03/1,004,208.03
  6. Step 6: Final answer
    x = 384,380.84

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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.