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Finding the Fourth Proportional to 432,200.88, 648,045.36 and 147,790.80

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Solution

The fourth proportional to 432,200.88, 648,045.36 and 147,790.80 is: 221,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,200.88 : 648,045.36 = 147,790.80 : x
  2. Step 2: Convert to fraction form
    432,200.88/648,045.36 = 147,790.80/x
  3. Step 3: Cross multiply
    432,200.88x = 648,045.36 × 147,790.80
  4. Step 4: Simplify right side
    432,200.88x = 95,775,142,190.69
  5. Step 5: Solve for x
    x = 95,775,142,190.69/432,200.88
  6. Step 6: Final answer
    x = 221,598.67

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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.