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Finding the Fourth Proportional to 325,837.70, 489,193.95 and 208,031.30

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Solution

The fourth proportional to 325,837.70, 489,193.95 and 208,031.30 is: 312,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,837.70 : 489,193.95 = 208,031.30 : x
  2. Step 2: Convert to fraction form
    325,837.70/489,193.95 = 208,031.30/x
  3. Step 3: Cross multiply
    325,837.70x = 489,193.95 × 208,031.30
  4. Step 4: Simplify right side
    325,837.70x = 101,767,653,370.64
  5. Step 5: Solve for x
    x = 101,767,653,370.64/325,837.70
  6. Step 6: Final answer
    x = 312,326.21

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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.