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Finding the Fourth Proportional to 325,823.30, 488,734.95 and 325,823.30

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Solution

The fourth proportional to 325,823.30, 488,734.95 and 325,823.30 is: 488,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,823.30 : 488,734.95 = 325,823.30 : x
  2. Step 2: Convert to fraction form
    325,823.30/488,734.95 = 325,823.30/x
  3. Step 3: Cross multiply
    325,823.30x = 488,734.95 × 325,823.30
  4. Step 4: Simplify right side
    325,823.30x = 159,241,234,234.34
  5. Step 5: Solve for x
    x = 159,241,234,234.34/325,823.30
  6. Step 6: Final answer
    x = 488,734.95

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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.