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Finding the Fourth Proportional to 310,270.20, 428,223.70 and 258,505.26

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Solution

The fourth proportional to 310,270.20, 428,223.70 and 258,505.26 is: 356,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,270.20 : 428,223.70 = 258,505.26 : x
  2. Step 2: Convert to fraction form
    310,270.20/428,223.70 = 258,505.26/x
  3. Step 3: Cross multiply
    310,270.20x = 428,223.70 × 258,505.26
  4. Step 4: Simplify right side
    310,270.20x = 110,698,078,906.66
  5. Step 5: Solve for x
    x = 110,698,078,906.66/310,270.20
  6. Step 6: Final answer
    x = 356,779.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.