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Finding the Fourth Proportional to 304,581, 420,263.46 and 197,136.12

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Solution

The fourth proportional to 304,581, 420,263.46 and 197,136.12 is: 272,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,581 : 420,263.46 = 197,136.12 : x
  2. Step 2: Convert to fraction form
    304,581/420,263.46 = 197,136.12/x
  3. Step 3: Cross multiply
    304,581x = 420,263.46 × 197,136.12
  4. Step 4: Simplify right side
    304,581x = 82,849,107,882.18
  5. Step 5: Solve for x
    x = 82,849,107,882.18/304,581
  6. Step 6: Final answer
    x = 272,010.10

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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.