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Finding the Fourth Proportional to 292,558.30, 403,735.80 and 165,210.10

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Solution

The fourth proportional to 292,558.30, 403,735.80 and 165,210.10 is: 227,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,558.30 : 403,735.80 = 165,210.10 : x
  2. Step 2: Convert to fraction form
    292,558.30/403,735.80 = 165,210.10/x
  3. Step 3: Cross multiply
    292,558.30x = 403,735.80 × 165,210.10
  4. Step 4: Simplify right side
    292,558.30x = 66,701,231,891.58
  5. Step 5: Solve for x
    x = 66,701,231,891.58/292,558.30
  6. Step 6: Final answer
    x = 227,992.96

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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.