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Finding the Fourth Proportional to 569,640.26, 854,543.32 and 209,983.25

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Solution

The fourth proportional to 569,640.26, 854,543.32 and 209,983.25 is: 315,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,640.26 : 854,543.32 = 209,983.25 : x
  2. Step 2: Convert to fraction form
    569,640.26/854,543.32 = 209,983.25/x
  3. Step 3: Cross multiply
    569,640.26x = 854,543.32 × 209,983.25
  4. Step 4: Simplify right side
    569,640.26x = 179,439,785,210.79
  5. Step 5: Solve for x
    x = 179,439,785,210.79/569,640.26
  6. Step 6: Final answer
    x = 315,005.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.