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Finding the Fourth Proportional to 306,329.42, 422,702.24 and 170,341.40

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Solution

The fourth proportional to 306,329.42, 422,702.24 and 170,341.40 is: 235,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,329.42 : 422,702.24 = 170,341.40 : x
  2. Step 2: Convert to fraction form
    306,329.42/422,702.24 = 170,341.40/x
  3. Step 3: Cross multiply
    306,329.42x = 422,702.24 × 170,341.40
  4. Step 4: Simplify right side
    306,329.42x = 72,003,691,549.78
  5. Step 5: Solve for x
    x = 72,003,691,549.78/306,329.42
  6. Step 6: Final answer
    x = 235,053.14

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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.