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Finding the Fourth Proportional to 259,830.70, 389,746.06 and 207,342.70

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Solution

The fourth proportional to 259,830.70, 389,746.06 and 207,342.70 is: 311,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,830.70 : 389,746.06 = 207,342.70 : x
  2. Step 2: Convert to fraction form
    259,830.70/389,746.06 = 207,342.70/x
  3. Step 3: Cross multiply
    259,830.70x = 389,746.06 × 207,342.70
  4. Step 4: Simplify right side
    259,830.70x = 80,811,000,394.76
  5. Step 5: Solve for x
    x = 80,811,000,394.76/259,830.70
  6. Step 6: Final answer
    x = 311,014.06

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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.