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Finding the Fourth Proportional to 569,172.24, 785,457.96 and 314,523.42

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Solution

The fourth proportional to 569,172.24, 785,457.96 and 314,523.42 is: 434,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,172.24 : 785,457.96 = 314,523.42 : x
  2. Step 2: Convert to fraction form
    569,172.24/785,457.96 = 314,523.42/x
  3. Step 3: Cross multiply
    569,172.24x = 785,457.96 × 314,523.42
  4. Step 4: Simplify right side
    569,172.24x = 247,044,923,845.42
  5. Step 5: Solve for x
    x = 247,044,923,845.42/569,172.24
  6. Step 6: Final answer
    x = 434,042.47

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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.