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Finding the Fourth Proportional to 288,947.70, 432,838.35 and 200,301.30

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Solution

The fourth proportional to 288,947.70, 432,838.35 and 200,301.30 is: 300,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,947.70 : 432,838.35 = 200,301.30 : x
  2. Step 2: Convert to fraction form
    288,947.70/432,838.35 = 200,301.30/x
  3. Step 3: Cross multiply
    288,947.70x = 432,838.35 × 200,301.30
  4. Step 4: Simplify right side
    288,947.70x = 86,698,084,194.86
  5. Step 5: Solve for x
    x = 86,698,084,194.86/288,947.70
  6. Step 6: Final answer
    x = 300,047.67

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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.