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Finding the Fourth Proportional to 312,315.36, 430,996.17 and 169,075.06

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Solution

The fourth proportional to 312,315.36, 430,996.17 and 169,075.06 is: 233,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,315.36 : 430,996.17 = 169,075.06 : x
  2. Step 2: Convert to fraction form
    312,315.36/430,996.17 = 169,075.06/x
  3. Step 3: Cross multiply
    312,315.36x = 430,996.17 × 169,075.06
  4. Step 4: Simplify right side
    312,315.36x = 72,870,702,457.14
  5. Step 5: Solve for x
    x = 72,870,702,457.14/312,315.36
  6. Step 6: Final answer
    x = 233,324.11

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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.