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Finding the Fourth Proportional to 274,632.30, 411,430.05 and 141,057.90

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Solution

The fourth proportional to 274,632.30, 411,430.05 and 141,057.90 is: 211,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,632.30 : 411,430.05 = 141,057.90 : x
  2. Step 2: Convert to fraction form
    274,632.30/411,430.05 = 141,057.90/x
  3. Step 3: Cross multiply
    274,632.30x = 411,430.05 × 141,057.90
  4. Step 4: Simplify right side
    274,632.30x = 58,035,458,849.90
  5. Step 5: Solve for x
    x = 58,035,458,849.90/274,632.30
  6. Step 6: Final answer
    x = 211,320.59

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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.