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Finding the Fourth Proportional to 433,670.82, 650,155.61 and 181,144.77

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Solution

The fourth proportional to 433,670.82, 650,155.61 and 181,144.77 is: 271,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,670.82 : 650,155.61 = 181,144.77 : x
  2. Step 2: Convert to fraction form
    433,670.82/650,155.61 = 181,144.77/x
  3. Step 3: Cross multiply
    433,670.82x = 650,155.61 × 181,144.77
  4. Step 4: Simplify right side
    433,670.82x = 117,772,287,531.94
  5. Step 5: Solve for x
    x = 117,772,287,531.94/433,670.82
  6. Step 6: Final answer
    x = 271,570.70

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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.