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Finding the Fourth Proportional to 416,105.83, 574,220.37 and 232,347.23

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Solution

The fourth proportional to 416,105.83, 574,220.37 and 232,347.23 is: 320,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,105.83 : 574,220.37 = 232,347.23 : x
  2. Step 2: Convert to fraction form
    416,105.83/574,220.37 = 232,347.23/x
  3. Step 3: Cross multiply
    416,105.83x = 574,220.37 × 232,347.23
  4. Step 4: Simplify right side
    416,105.83x = 133,418,512,379.08
  5. Step 5: Solve for x
    x = 133,418,512,379.08/416,105.83
  6. Step 6: Final answer
    x = 320,636.01

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1.5x scale

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.