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Finding the Fourth Proportional to 567,976.29, 783,667.49 and 347,157.69

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Solution

The fourth proportional to 567,976.29, 783,667.49 and 347,157.69 is: 478,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,976.29 : 783,667.49 = 347,157.69 : x
  2. Step 2: Convert to fraction form
    567,976.29/783,667.49 = 347,157.69/x
  3. Step 3: Cross multiply
    567,976.29x = 783,667.49 × 347,157.69
  4. Step 4: Simplify right side
    567,976.29x = 272,056,193,820.71
  5. Step 5: Solve for x
    x = 272,056,193,820.71/567,976.29
  6. Step 6: Final answer
    x = 478,992.17

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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.