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Finding the Fourth Proportional to 299,276.82, 448,986.51 and 112,289.94

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Solution

The fourth proportional to 299,276.82, 448,986.51 and 112,289.94 is: 168,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,276.82 : 448,986.51 = 112,289.94 : x
  2. Step 2: Convert to fraction form
    299,276.82/448,986.51 = 112,289.94/x
  3. Step 3: Cross multiply
    299,276.82x = 448,986.51 × 112,289.94
  4. Step 4: Simplify right side
    299,276.82x = 50,416,668,268.71
  5. Step 5: Solve for x
    x = 50,416,668,268.71/299,276.82
  6. Step 6: Final answer
    x = 168,461.65

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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.