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Finding the Fourth Proportional to 382,912.20, 574,368.30 and 364,541.40

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Solution

The fourth proportional to 382,912.20, 574,368.30 and 364,541.40 is: 546,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,912.20 : 574,368.30 = 364,541.40 : x
  2. Step 2: Convert to fraction form
    382,912.20/574,368.30 = 364,541.40/x
  3. Step 3: Cross multiply
    382,912.20x = 574,368.30 × 364,541.40
  4. Step 4: Simplify right side
    382,912.20x = 209,381,024,197.62
  5. Step 5: Solve for x
    x = 209,381,024,197.62/382,912.20
  6. Step 6: Final answer
    x = 546,812.10

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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.