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Finding the Fourth Proportional to 567,463.96, 783,091.70 and 312,809.64

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Solution

The fourth proportional to 567,463.96, 783,091.70 and 312,809.64 is: 431,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,463.96 : 783,091.70 = 312,809.64 : x
  2. Step 2: Convert to fraction form
    567,463.96/783,091.70 = 312,809.64/x
  3. Step 3: Cross multiply
    567,463.96x = 783,091.70 × 312,809.64
  4. Step 4: Simplify right side
    567,463.96x = 244,958,632,763.99
  5. Step 5: Solve for x
    x = 244,958,632,763.99/567,463.96
  6. Step 6: Final answer
    x = 431,672.58

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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.