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Finding the Fourth Proportional to 348,980.27, 523,730.95 and 259,230.22

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Solution

The fourth proportional to 348,980.27, 523,730.95 and 259,230.22 is: 389,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,980.27 : 523,730.95 = 259,230.22 : x
  2. Step 2: Convert to fraction form
    348,980.27/523,730.95 = 259,230.22/x
  3. Step 3: Cross multiply
    348,980.27x = 523,730.95 × 259,230.22
  4. Step 4: Simplify right side
    348,980.27x = 135,766,887,431.91
  5. Step 5: Solve for x
    x = 135,766,887,431.91/348,980.27
  6. Step 6: Final answer
    x = 389,038.87

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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.