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Finding the Fourth Proportional to 295,635.21, 407,976.98 and 168,310.80

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Solution

The fourth proportional to 295,635.21, 407,976.98 and 168,310.80 is: 232,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,635.21 : 407,976.98 = 168,310.80 : x
  2. Step 2: Convert to fraction form
    295,635.21/407,976.98 = 168,310.80/x
  3. Step 3: Cross multiply
    295,635.21x = 407,976.98 × 168,310.80
  4. Step 4: Simplify right side
    295,635.21x = 68,666,931,885.38
  5. Step 5: Solve for x
    x = 68,666,931,885.38/295,635.21
  6. Step 6: Final answer
    x = 232,269.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.