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Finding the Fourth Proportional to 421,101.96, 581,096.22 and 230,116.92

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Solution

The fourth proportional to 421,101.96, 581,096.22 and 230,116.92 is: 317,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,101.96 : 581,096.22 = 230,116.92 : x
  2. Step 2: Convert to fraction form
    421,101.96/581,096.22 = 230,116.92/x
  3. Step 3: Cross multiply
    421,101.96x = 581,096.22 × 230,116.92
  4. Step 4: Simplify right side
    421,101.96x = 133,720,072,370.04
  5. Step 5: Solve for x
    x = 133,720,072,370.04/421,101.96
  6. Step 6: Final answer
    x = 317,547.97

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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.