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Finding the Fourth Proportional to 569,172.05, 785,457.71 and 314,523.24

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Solution

The fourth proportional to 569,172.05, 785,457.71 and 314,523.24 is: 434,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,172.05 : 785,457.71 = 314,523.24 : x
  2. Step 2: Convert to fraction form
    569,172.05/785,457.71 = 314,523.24/x
  3. Step 3: Cross multiply
    569,172.05x = 785,457.71 × 314,523.24
  4. Step 4: Simplify right side
    569,172.05x = 247,044,702,259.56
  5. Step 5: Solve for x
    x = 247,044,702,259.56/569,172.05
  6. Step 6: Final answer
    x = 434,042.23

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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.