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Finding the Fourth Proportional to 314,223.66, 433,625 and 170,981.23

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Solution

The fourth proportional to 314,223.66, 433,625 and 170,981.23 is: 235,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,223.66 : 433,625 = 170,981.23 : x
  2. Step 2: Convert to fraction form
    314,223.66/433,625 = 170,981.23/x
  3. Step 3: Cross multiply
    314,223.66x = 433,625 × 170,981.23
  4. Step 4: Simplify right side
    314,223.66x = 74,141,735,858.75
  5. Step 5: Solve for x
    x = 74,141,735,858.75/314,223.66
  6. Step 6: Final answer
    x = 235,952.11

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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.