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Finding the Fourth Proportional to 364,813.52, 548,050.62 and 263,922.74

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Solution

The fourth proportional to 364,813.52, 548,050.62 and 263,922.74 is: 396,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,813.52 : 548,050.62 = 263,922.74 : x
  2. Step 2: Convert to fraction form
    364,813.52/548,050.62 = 263,922.74/x
  3. Step 3: Cross multiply
    364,813.52x = 548,050.62 × 263,922.74
  4. Step 4: Simplify right side
    364,813.52x = 144,643,021,289.10
  5. Step 5: Solve for x
    x = 144,643,021,289.10/364,813.52
  6. Step 6: Final answer
    x = 396,484.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.