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Finding the Fourth Proportional to 314,205.70, 433,613.09 and 170,974.96

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Solution

The fourth proportional to 314,205.70, 433,613.09 and 170,974.96 is: 235,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,205.70 : 433,613.09 = 170,974.96 : x
  2. Step 2: Convert to fraction form
    314,205.70/433,613.09 = 170,974.96/x
  3. Step 3: Cross multiply
    314,205.70x = 433,613.09 × 170,974.96
  4. Step 4: Simplify right side
    314,205.70x = 74,136,980,718.23
  5. Step 5: Solve for x
    x = 74,136,980,718.23/314,205.70
  6. Step 6: Final answer
    x = 235,950.46

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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.