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Finding the Fourth Proportional to 541,541.80, 747,406.39 and 312,054.42

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Solution

The fourth proportional to 541,541.80, 747,406.39 and 312,054.42 is: 430,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,541.80 : 747,406.39 = 312,054.42 : x
  2. Step 2: Convert to fraction form
    541,541.80/747,406.39 = 312,054.42/x
  3. Step 3: Cross multiply
    541,541.80x = 747,406.39 × 312,054.42
  4. Step 4: Simplify right side
    541,541.80x = 233,231,470,143.48
  5. Step 5: Solve for x
    x = 233,231,470,143.48/541,541.80
  6. Step 6: Final answer
    x = 430,680.46

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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.