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Finding the Fourth Proportional to 420,010.40, 579,564.24 and 238,656.80

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Solution

The fourth proportional to 420,010.40, 579,564.24 and 238,656.80 is: 329,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,010.40 : 579,564.24 = 238,656.80 : x
  2. Step 2: Convert to fraction form
    420,010.40/579,564.24 = 238,656.80/x
  3. Step 3: Cross multiply
    420,010.40x = 579,564.24 × 238,656.80
  4. Step 4: Simplify right side
    420,010.40x = 138,316,946,912.83
  5. Step 5: Solve for x
    x = 138,316,946,912.83/420,010.40
  6. Step 6: Final answer
    x = 329,317.91

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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.