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Finding the Fourth Proportional to 313,705.81, 432,916.75 and 170,465.82

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Solution

The fourth proportional to 313,705.81, 432,916.75 and 170,465.82 is: 235,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,705.81 : 432,916.75 = 170,465.82 : x
  2. Step 2: Convert to fraction form
    313,705.81/432,916.75 = 170,465.82/x
  3. Step 3: Cross multiply
    313,705.81x = 432,916.75 × 170,465.82
  4. Step 4: Simplify right side
    313,705.81x = 73,797,507,370.13
  5. Step 5: Solve for x
    x = 73,797,507,370.13/313,705.81
  6. Step 6: Final answer
    x = 235,244.31

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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.