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Finding the Fourth Proportional to 421,204.63, 581,253.83 and 230,219.39

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Solution

The fourth proportional to 421,204.63, 581,253.83 and 230,219.39 is: 317,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,204.63 : 581,253.83 = 230,219.39 : x
  2. Step 2: Convert to fraction form
    421,204.63/581,253.83 = 230,219.39/x
  3. Step 3: Cross multiply
    421,204.63x = 581,253.83 × 230,219.39
  4. Step 4: Simplify right side
    421,204.63x = 133,815,901,602.22
  5. Step 5: Solve for x
    x = 133,815,901,602.22/421,204.63
  6. Step 6: Final answer
    x = 317,698.08

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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.