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Finding the Fourth Proportional to 433,335.52, 650,017.66 and 149,023.26

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Solution

The fourth proportional to 433,335.52, 650,017.66 and 149,023.26 is: 223,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,335.52 : 650,017.66 = 149,023.26 : x
  2. Step 2: Convert to fraction form
    433,335.52/650,017.66 = 149,023.26/x
  3. Step 3: Cross multiply
    433,335.52x = 650,017.66 × 149,023.26
  4. Step 4: Simplify right side
    433,335.52x = 96,867,750,750.77
  5. Step 5: Solve for x
    x = 96,867,750,750.77/433,335.52
  6. Step 6: Final answer
    x = 223,539.84

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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.