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Finding the Fourth Proportional to 343,654.48, 474,245.72 and 190,693.24

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Solution

The fourth proportional to 343,654.48, 474,245.72 and 190,693.24 is: 263,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,654.48 : 474,245.72 = 190,693.24 : x
  2. Step 2: Convert to fraction form
    343,654.48/474,245.72 = 190,693.24/x
  3. Step 3: Cross multiply
    343,654.48x = 474,245.72 × 190,693.24
  4. Step 4: Simplify right side
    343,654.48x = 90,435,452,902.93
  5. Step 5: Solve for x
    x = 90,435,452,902.93/343,654.48
  6. Step 6: Final answer
    x = 263,158.08

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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.