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Finding the Fourth Proportional to 306,098.20, 459,147.30 and 260,827.30

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Solution

The fourth proportional to 306,098.20, 459,147.30 and 260,827.30 is: 391,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,098.20 : 459,147.30 = 260,827.30 : x
  2. Step 2: Convert to fraction form
    306,098.20/459,147.30 = 260,827.30/x
  3. Step 3: Cross multiply
    306,098.20x = 459,147.30 × 260,827.30
  4. Step 4: Simplify right side
    306,098.20x = 119,758,150,561.29
  5. Step 5: Solve for x
    x = 119,758,150,561.29/306,098.20
  6. Step 6: Final answer
    x = 391,240.95

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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.