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Finding the Fourth Proportional to 343,654.46, 474,245.74 and 190,693.26

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Solution

The fourth proportional to 343,654.46, 474,245.74 and 190,693.26 is: 263,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,654.46 : 474,245.74 = 190,693.26 : x
  2. Step 2: Convert to fraction form
    343,654.46/474,245.74 = 190,693.26/x
  3. Step 3: Cross multiply
    343,654.46x = 474,245.74 × 190,693.26
  4. Step 4: Simplify right side
    343,654.46x = 90,435,466,201.71
  5. Step 5: Solve for x
    x = 90,435,466,201.71/343,654.46
  6. Step 6: Final answer
    x = 263,158.13

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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.