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Finding the Fourth Proportional to 288,698.70, 433,048.05 and 200,052.30

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Solution

The fourth proportional to 288,698.70, 433,048.05 and 200,052.30 is: 300,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,698.70 : 433,048.05 = 200,052.30 : x
  2. Step 2: Convert to fraction form
    288,698.70/433,048.05 = 200,052.30/x
  3. Step 3: Cross multiply
    288,698.70x = 433,048.05 × 200,052.30
  4. Step 4: Simplify right side
    288,698.70x = 86,632,258,413.02
  5. Step 5: Solve for x
    x = 86,632,258,413.02/288,698.70
  6. Step 6: Final answer
    x = 300,078.45

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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.