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Finding the Fourth Proportional to 311,410.29, 429,746.19 and 168,170.33

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Solution

The fourth proportional to 311,410.29, 429,746.19 and 168,170.33 is: 232,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,410.29 : 429,746.19 = 168,170.33 : x
  2. Step 2: Convert to fraction form
    311,410.29/429,746.19 = 168,170.33/x
  3. Step 3: Cross multiply
    311,410.29x = 429,746.19 × 168,170.33
  4. Step 4: Simplify right side
    311,410.29x = 72,270,558,588.54
  5. Step 5: Solve for x
    x = 72,270,558,588.54/311,410.29
  6. Step 6: Final answer
    x = 232,075.05

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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.