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Finding the Fourth Proportional to 613,821.37, 847,116.09 and 372,114.13

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Solution

The fourth proportional to 613,821.37, 847,116.09 and 372,114.13 is: 513,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,821.37 : 847,116.09 = 372,114.13 : x
  2. Step 2: Convert to fraction form
    613,821.37/847,116.09 = 372,114.13/x
  3. Step 3: Cross multiply
    613,821.37x = 847,116.09 × 372,114.13
  4. Step 4: Simplify right side
    613,821.37x = 315,223,866,839.35
  5. Step 5: Solve for x
    x = 315,223,866,839.35/613,821.37
  6. Step 6: Final answer
    x = 513,543.32

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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.