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Finding the Fourth Proportional to 288,481.83, 432,630.40 and 96,315

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Solution

The fourth proportional to 288,481.83, 432,630.40 and 96,315 is: 144,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,481.83 : 432,630.40 = 96,315 : x
  2. Step 2: Convert to fraction form
    288,481.83/432,630.40 = 96,315/x
  3. Step 3: Cross multiply
    288,481.83x = 432,630.40 × 96,315
  4. Step 4: Simplify right side
    288,481.83x = 41,668,796,976
  5. Step 5: Solve for x
    x = 41,668,796,976/288,481.83
  6. Step 6: Final answer
    x = 144,441.67

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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.