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Finding the Fourth Proportional to 569,108.34, 785,369.25 and 314,457.30

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Solution

The fourth proportional to 569,108.34, 785,369.25 and 314,457.30 is: 433,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,108.34 : 785,369.25 = 314,457.30 : x
  2. Step 2: Convert to fraction form
    569,108.34/785,369.25 = 314,457.30/x
  3. Step 3: Cross multiply
    569,108.34x = 785,369.25 × 314,457.30
  4. Step 4: Simplify right side
    569,108.34x = 246,965,093,858.03
  5. Step 5: Solve for x
    x = 246,965,093,858.03/569,108.34
  6. Step 6: Final answer
    x = 433,950.93

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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.