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Finding the Fourth Proportional to 325,409.20, 488,551.20 and 207,602.80

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Solution

The fourth proportional to 325,409.20, 488,551.20 and 207,602.80 is: 311,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,409.20 : 488,551.20 = 207,602.80 : x
  2. Step 2: Convert to fraction form
    325,409.20/488,551.20 = 207,602.80/x
  3. Step 3: Cross multiply
    325,409.20x = 488,551.20 × 207,602.80
  4. Step 4: Simplify right side
    325,409.20x = 101,424,597,063.36
  5. Step 5: Solve for x
    x = 101,424,597,063.36/325,409.20
  6. Step 6: Final answer
    x = 311,683.25

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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.