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Finding the Fourth Proportional to 290,233.46, 435,474.93 and 150,090.50

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Solution

The fourth proportional to 290,233.46, 435,474.93 and 150,090.50 is: 225,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,233.46 : 435,474.93 = 150,090.50 : x
  2. Step 2: Convert to fraction form
    290,233.46/435,474.93 = 150,090.50/x
  3. Step 3: Cross multiply
    290,233.46x = 435,474.93 × 150,090.50
  4. Step 4: Simplify right side
    290,233.46x = 65,360,647,803.79
  5. Step 5: Solve for x
    x = 65,360,647,803.79/290,233.46
  6. Step 6: Final answer
    x = 225,200.25

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1.5x scale

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.