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Finding the Fourth Proportional to 950,048.52, 1,311,041.22 and 542,142.84

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Solution

The fourth proportional to 950,048.52, 1,311,041.22 and 542,142.84 is: 748,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,048.52 : 1,311,041.22 = 542,142.84 : x
  2. Step 2: Convert to fraction form
    950,048.52/1,311,041.22 = 542,142.84/x
  3. Step 3: Cross multiply
    950,048.52x = 1,311,041.22 × 542,142.84
  4. Step 4: Simplify right side
    950,048.52x = 710,771,610,367.87
  5. Step 5: Solve for x
    x = 710,771,610,367.87/950,048.52
  6. Step 6: Final answer
    x = 748,142.43

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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.