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Finding the Fourth Proportional to 474,529.31, 711,647.49 and 137,594.80

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Solution

The fourth proportional to 474,529.31, 711,647.49 and 137,594.80 is: 206,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,529.31 : 711,647.49 = 137,594.80 : x
  2. Step 2: Convert to fraction form
    474,529.31/711,647.49 = 137,594.80/x
  3. Step 3: Cross multiply
    474,529.31x = 711,647.49 × 137,594.80
  4. Step 4: Simplify right side
    474,529.31x = 97,918,991,459.57
  5. Step 5: Solve for x
    x = 97,918,991,459.57/474,529.31
  6. Step 6: Final answer
    x = 206,349.72

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