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Finding the Fourth Proportional to 301,724.62, 452,537.16 and 99,323.37

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Solution

The fourth proportional to 301,724.62, 452,537.16 and 99,323.37 is: 148,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,724.62 : 452,537.16 = 99,323.37 : x
  2. Step 2: Convert to fraction form
    301,724.62/452,537.16 = 99,323.37/x
  3. Step 3: Cross multiply
    301,724.62x = 452,537.16 × 99,323.37
  4. Step 4: Simplify right side
    301,724.62x = 44,947,515,781.43
  5. Step 5: Solve for x
    x = 44,947,515,781.43/301,724.62
  6. Step 6: Final answer
    x = 148,968.67

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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.