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Finding the Fourth Proportional to 381,684.30, 572,526.45 and 342,318.30

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Solution

The fourth proportional to 381,684.30, 572,526.45 and 342,318.30 is: 513,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,684.30 : 572,526.45 = 342,318.30 : x
  2. Step 2: Convert to fraction form
    381,684.30/572,526.45 = 342,318.30/x
  3. Step 3: Cross multiply
    381,684.30x = 572,526.45 × 342,318.30
  4. Step 4: Simplify right side
    381,684.30x = 195,986,281,069.04
  5. Step 5: Solve for x
    x = 195,986,281,069.04/381,684.30
  6. Step 6: Final answer
    x = 513,477.45

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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.