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Finding the Fourth Proportional to 474,352.30, 711,538.82 and 190,176.68

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Solution

The fourth proportional to 474,352.30, 711,538.82 and 190,176.68 is: 285,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,352.30 : 711,538.82 = 190,176.68 : x
  2. Step 2: Convert to fraction form
    474,352.30/711,538.82 = 190,176.68/x
  3. Step 3: Cross multiply
    474,352.30x = 711,538.82 × 190,176.68
  4. Step 4: Simplify right side
    474,352.30x = 135,318,089,527.83
  5. Step 5: Solve for x
    x = 135,318,089,527.83/474,352.30
  6. Step 6: Final answer
    x = 285,269.18

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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.