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Finding the Fourth Proportional to 305,868.99, 421,929.18 and 284,219.58

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Solution

The fourth proportional to 305,868.99, 421,929.18 and 284,219.58 is: 392,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,868.99 : 421,929.18 = 284,219.58 : x
  2. Step 2: Convert to fraction form
    305,868.99/421,929.18 = 284,219.58/x
  3. Step 3: Cross multiply
    305,868.99x = 421,929.18 × 284,219.58
  4. Step 4: Simplify right side
    305,868.99x = 119,920,534,329.34
  5. Step 5: Solve for x
    x = 119,920,534,329.34/305,868.99
  6. Step 6: Final answer
    x = 392,065.03

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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.