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Finding the Fourth Proportional to 300,609.90, 450,701.28 and 150,742.08

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Solution

The fourth proportional to 300,609.90, 450,701.28 and 150,742.08 is: 226,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,609.90 : 450,701.28 = 150,742.08 : x
  2. Step 2: Convert to fraction form
    300,609.90/450,701.28 = 150,742.08/x
  3. Step 3: Cross multiply
    300,609.90x = 450,701.28 × 150,742.08
  4. Step 4: Simplify right side
    300,609.90x = 67,939,648,405.86
  5. Step 5: Solve for x
    x = 67,939,648,405.86/300,609.90
  6. Step 6: Final answer
    x = 226,006.02

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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.