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Finding the Fourth Proportional to 299,293.41, 448,225.02 and 165,842.67

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Solution

The fourth proportional to 299,293.41, 448,225.02 and 165,842.67 is: 248,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,293.41 : 448,225.02 = 165,842.67 : x
  2. Step 2: Convert to fraction form
    299,293.41/448,225.02 = 165,842.67/x
  3. Step 3: Cross multiply
    299,293.41x = 448,225.02 × 165,842.67
  4. Step 4: Simplify right side
    299,293.41x = 74,334,834,077.60
  5. Step 5: Solve for x
    x = 74,334,834,077.60/299,293.41
  6. Step 6: Final answer
    x = 248,367.76

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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.