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Finding the Fourth Proportional to 469,419.57, 704,227.37 and 153,851.67

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Solution

The fourth proportional to 469,419.57, 704,227.37 and 153,851.67 is: 230,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,419.57 : 704,227.37 = 153,851.67 : x
  2. Step 2: Convert to fraction form
    469,419.57/704,227.37 = 153,851.67/x
  3. Step 3: Cross multiply
    469,419.57x = 704,227.37 × 153,851.67
  4. Step 4: Simplify right side
    469,419.57x = 108,346,556,164.95
  5. Step 5: Solve for x
    x = 108,346,556,164.95/469,419.57
  6. Step 6: Final answer
    x = 230,809.63

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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.