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Finding the Fourth Proportional to 465,157.50, 697,293.30 and 149,392.97

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Solution

The fourth proportional to 465,157.50, 697,293.30 and 149,392.97 is: 223,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,157.50 : 697,293.30 = 149,392.97 : x
  2. Step 2: Convert to fraction form
    465,157.50/697,293.30 = 149,392.97/x
  3. Step 3: Cross multiply
    465,157.50x = 697,293.30 × 149,392.97
  4. Step 4: Simplify right side
    465,157.50x = 104,170,716,736.71
  5. Step 5: Solve for x
    x = 104,170,716,736.71/465,157.50
  6. Step 6: Final answer
    x = 223,947.20

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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.