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Finding the Fourth Proportional to 421,394.67, 581,524.83 and 230,409.63

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Solution

The fourth proportional to 421,394.67, 581,524.83 and 230,409.63 is: 317,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,394.67 : 581,524.83 = 230,409.63 : x
  2. Step 2: Convert to fraction form
    421,394.67/581,524.83 = 230,409.63/x
  3. Step 3: Cross multiply
    421,394.67x = 581,524.83 × 230,409.63
  4. Step 4: Simplify right side
    421,394.67x = 133,988,920,916.11
  5. Step 5: Solve for x
    x = 133,988,920,916.11/421,394.67
  6. Step 6: Final answer
    x = 317,965.39

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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.