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Finding the Fourth Proportional to 533,864.54, 736,682.91 and 361,431.74

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Solution

The fourth proportional to 533,864.54, 736,682.91 and 361,431.74 is: 498,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,864.54 : 736,682.91 = 361,431.74 : x
  2. Step 2: Convert to fraction form
    533,864.54/736,682.91 = 361,431.74/x
  3. Step 3: Cross multiply
    533,864.54x = 736,682.91 × 361,431.74
  4. Step 4: Simplify right side
    533,864.54x = 266,260,585,989.56
  5. Step 5: Solve for x
    x = 266,260,585,989.56/533,864.54
  6. Step 6: Final answer
    x = 498,741.85

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Why These Related Problems?

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