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Finding the Fourth Proportional to 314,193.43, 433,590.62 and 170,954.65

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Solution

The fourth proportional to 314,193.43, 433,590.62 and 170,954.65 is: 235,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,193.43 : 433,590.62 = 170,954.65 : x
  2. Step 2: Convert to fraction form
    314,193.43/433,590.62 = 170,954.65/x
  3. Step 3: Cross multiply
    314,193.43x = 433,590.62 × 170,954.65
  4. Step 4: Simplify right side
    314,193.43x = 74,124,333,334.22
  5. Step 5: Solve for x
    x = 74,124,333,334.22/314,193.43
  6. Step 6: Final answer
    x = 235,919.42

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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.