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Finding the Fourth Proportional to 469,380.35, 704,125.49 and 149,420.11

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Solution

The fourth proportional to 469,380.35, 704,125.49 and 149,420.11 is: 224,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,380.35 : 704,125.49 = 149,420.11 : x
  2. Step 2: Convert to fraction form
    469,380.35/704,125.49 = 149,420.11/x
  3. Step 3: Cross multiply
    469,380.35x = 704,125.49 × 149,420.11
  4. Step 4: Simplify right side
    469,380.35x = 105,210,509,938.54
  5. Step 5: Solve for x
    x = 105,210,509,938.54/469,380.35
  6. Step 6: Final answer
    x = 224,147.67

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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.