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Finding the Fourth Proportional to 540,586.46, 746,024.88 and 298,884.63

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Solution

The fourth proportional to 540,586.46, 746,024.88 and 298,884.63 is: 412,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,586.46 : 746,024.88 = 298,884.63 : x
  2. Step 2: Convert to fraction form
    540,586.46/746,024.88 = 298,884.63/x
  3. Step 3: Cross multiply
    540,586.46x = 746,024.88 × 298,884.63
  4. Step 4: Simplify right side
    540,586.46x = 222,975,374,148.01
  5. Step 5: Solve for x
    x = 222,975,374,148.01/540,586.46
  6. Step 6: Final answer
    x = 412,469.40

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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.