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Finding the Fourth Proportional to 420,918.03, 580,845.22 and 229,894.51

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Solution

The fourth proportional to 420,918.03, 580,845.22 and 229,894.51 is: 317,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,918.03 : 580,845.22 = 229,894.51 : x
  2. Step 2: Convert to fraction form
    420,918.03/580,845.22 = 229,894.51/x
  3. Step 3: Cross multiply
    420,918.03x = 580,845.22 × 229,894.51
  4. Step 4: Simplify right side
    420,918.03x = 133,533,127,237.74
  5. Step 5: Solve for x
    x = 133,533,127,237.74/420,918.03
  6. Step 6: Final answer
    x = 317,242.59

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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.