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Finding the Fourth Proportional to 416,705.64, 575,040.27 and 232,939.32

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Solution

The fourth proportional to 416,705.64, 575,040.27 and 232,939.32 is: 321,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,705.64 : 575,040.27 = 232,939.32 : x
  2. Step 2: Convert to fraction form
    416,705.64/575,040.27 = 232,939.32/x
  3. Step 3: Cross multiply
    416,705.64x = 575,040.27 × 232,939.32
  4. Step 4: Simplify right side
    416,705.64x = 133,949,489,466.42
  5. Step 5: Solve for x
    x = 133,949,489,466.42/416,705.64
  6. Step 6: Final answer
    x = 321,448.71

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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.