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Finding the Fourth Proportional to 416,103, 574,300.02 and 237,255

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Solution

The fourth proportional to 416,103, 574,300.02 and 237,255 is: 327,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,103 : 574,300.02 = 237,255 : x
  2. Step 2: Convert to fraction form
    416,103/574,300.02 = 237,255/x
  3. Step 3: Cross multiply
    416,103x = 574,300.02 × 237,255
  4. Step 4: Simplify right side
    416,103x = 136,255,551,245.10
  5. Step 5: Solve for x
    x = 136,255,551,245.10/416,103
  6. Step 6: Final answer
    x = 327,456.31

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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.