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Finding the Fourth Proportional to 416,559.69, 574,852.67 and 225,573.23

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Solution

The fourth proportional to 416,559.69, 574,852.67 and 225,573.23 is: 311,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,559.69 : 574,852.67 = 225,573.23 : x
  2. Step 2: Convert to fraction form
    416,559.69/574,852.67 = 225,573.23/x
  3. Step 3: Cross multiply
    416,559.69x = 574,852.67 × 225,573.23
  4. Step 4: Simplify right side
    416,559.69x = 129,671,373,546.02
  5. Step 5: Solve for x
    x = 129,671,373,546.02/416,559.69
  6. Step 6: Final answer
    x = 311,291.22

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Double scale
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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.