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Finding the Fourth Proportional to 540,933.23, 746,478.63 and 299,215.60

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Solution

The fourth proportional to 540,933.23, 746,478.63 and 299,215.60 is: 412,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,933.23 : 746,478.63 = 299,215.60 : x
  2. Step 2: Convert to fraction form
    540,933.23/746,478.63 = 299,215.60/x
  3. Step 3: Cross multiply
    540,933.23x = 746,478.63 × 299,215.60
  4. Step 4: Simplify right side
    540,933.23x = 223,358,051,162.63
  5. Step 5: Solve for x
    x = 223,358,051,162.63/540,933.23
  6. Step 6: Final answer
    x = 412,912.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.