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Finding the Fourth Proportional to 470,276.08, 705,233.61 and 200,233.02

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Solution

The fourth proportional to 470,276.08, 705,233.61 and 200,233.02 is: 300,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,276.08 : 705,233.61 = 200,233.02 : x
  2. Step 2: Convert to fraction form
    470,276.08/705,233.61 = 200,233.02/x
  3. Step 3: Cross multiply
    470,276.08x = 705,233.61 × 200,233.02
  4. Step 4: Simplify right side
    470,276.08x = 141,211,055,535.80
  5. Step 5: Solve for x
    x = 141,211,055,535.80/470,276.08
  6. Step 6: Final answer
    x = 300,272.67

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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.