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Finding the Fourth Proportional to 421,085.96, 581,100.17 and 230,099.38

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Solution

The fourth proportional to 421,085.96, 581,100.17 and 230,099.38 is: 317,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,085.96 : 581,100.17 = 230,099.38 : x
  2. Step 2: Convert to fraction form
    421,085.96/581,100.17 = 230,099.38/x
  3. Step 3: Cross multiply
    421,085.96x = 581,100.17 × 230,099.38
  4. Step 4: Simplify right side
    421,085.96x = 133,710,788,834.90
  5. Step 5: Solve for x
    x = 133,710,788,834.90/421,085.96
  6. Step 6: Final answer
    x = 317,537.99

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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.