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Finding the Fourth Proportional to 458,647.80, 633,233.73 and 297,960.81

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Solution

The fourth proportional to 458,647.80, 633,233.73 and 297,960.81 is: 411,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,647.80 : 633,233.73 = 297,960.81 : x
  2. Step 2: Convert to fraction form
    458,647.80/633,233.73 = 297,960.81/x
  3. Step 3: Cross multiply
    458,647.80x = 633,233.73 × 297,960.81
  4. Step 4: Simplify right side
    458,647.80x = 188,678,835,110.12
  5. Step 5: Solve for x
    x = 188,678,835,110.12/458,647.80
  6. Step 6: Final answer
    x = 411,380.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.