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Finding the Fourth Proportional to 474,895.80, 711,998.10 and 194,268.60

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Solution

The fourth proportional to 474,895.80, 711,998.10 and 194,268.60 is: 291,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,895.80 : 711,998.10 = 194,268.60 : x
  2. Step 2: Convert to fraction form
    474,895.80/711,998.10 = 194,268.60/x
  3. Step 3: Cross multiply
    474,895.80x = 711,998.10 × 194,268.60
  4. Step 4: Simplify right side
    474,895.80x = 138,318,874,089.66
  5. Step 5: Solve for x
    x = 138,318,874,089.66/474,895.80
  6. Step 6: Final answer
    x = 291,261.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.