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Finding the Fourth Proportional to 533,187.70, 735,727.96 and 342,459.43

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Solution

The fourth proportional to 533,187.70, 735,727.96 and 342,459.43 is: 472,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,187.70 : 735,727.96 = 342,459.43 : x
  2. Step 2: Convert to fraction form
    533,187.70/735,727.96 = 342,459.43/x
  3. Step 3: Cross multiply
    533,187.70x = 735,727.96 × 342,459.43
  4. Step 4: Simplify right side
    533,187.70x = 251,956,976,405.42
  5. Step 5: Solve for x
    x = 251,956,976,405.42/533,187.70
  6. Step 6: Final answer
    x = 472,548.37

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Why These Related Problems?

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