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Finding the Fourth Proportional to 299,275.32, 448,984.26 and 112,288.44

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Solution

The fourth proportional to 299,275.32, 448,984.26 and 112,288.44 is: 168,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,275.32 : 448,984.26 = 112,288.44 : x
  2. Step 2: Convert to fraction form
    299,275.32/448,984.26 = 112,288.44/x
  3. Step 3: Cross multiply
    299,275.32x = 448,984.26 × 112,288.44
  4. Step 4: Simplify right side
    299,275.32x = 50,415,742,139.95
  5. Step 5: Solve for x
    x = 50,415,742,139.95/299,275.32
  6. Step 6: Final answer
    x = 168,459.40

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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.