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Finding the Fourth Proportional to 433,726.36, 650,745.12 and 193,820.16

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Solution

The fourth proportional to 433,726.36, 650,745.12 and 193,820.16 is: 290,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,726.36 : 650,745.12 = 193,820.16 : x
  2. Step 2: Convert to fraction form
    433,726.36/650,745.12 = 193,820.16/x
  3. Step 3: Cross multiply
    433,726.36x = 650,745.12 × 193,820.16
  4. Step 4: Simplify right side
    433,726.36x = 126,127,523,277.62
  5. Step 5: Solve for x
    x = 126,127,523,277.62/433,726.36
  6. Step 6: Final answer
    x = 290,799.76

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1.5x scale

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.