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Finding the Fourth Proportional to 427,570.31, 590,047.08 and 233,978.06

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Solution

The fourth proportional to 427,570.31, 590,047.08 and 233,978.06 is: 322,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,570.31 : 590,047.08 = 233,978.06 : x
  2. Step 2: Convert to fraction form
    427,570.31/590,047.08 = 233,978.06/x
  3. Step 3: Cross multiply
    427,570.31x = 590,047.08 × 233,978.06
  4. Step 4: Simplify right side
    427,570.31x = 138,058,071,087.07
  5. Step 5: Solve for x
    x = 138,058,071,087.07/427,570.31
  6. Step 6: Final answer
    x = 322,889.75

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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.