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Finding the Fourth Proportional to 821,604.89, 1,133,793.81 and 459,031.48

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Solution

The fourth proportional to 821,604.89, 1,133,793.81 and 459,031.48 is: 633,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,604.89 : 1,133,793.81 = 459,031.48 : x
  2. Step 2: Convert to fraction form
    821,604.89/1,133,793.81 = 459,031.48/x
  3. Step 3: Cross multiply
    821,604.89x = 1,133,793.81 × 459,031.48
  4. Step 4: Simplify right side
    821,604.89x = 520,447,047,784.65
  5. Step 5: Solve for x
    x = 520,447,047,784.65/821,604.89
  6. Step 6: Final answer
    x = 633,451.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.