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Finding the Fourth Proportional to 903,723.72, 1,354,756.14 and 312,333

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Solution

The fourth proportional to 903,723.72, 1,354,756.14 and 312,333 is: 468,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,723.72 : 1,354,756.14 = 312,333 : x
  2. Step 2: Convert to fraction form
    903,723.72/1,354,756.14 = 312,333/x
  3. Step 3: Cross multiply
    903,723.72x = 1,354,756.14 × 312,333
  4. Step 4: Simplify right side
    903,723.72x = 423,135,049,474.62
  5. Step 5: Solve for x
    x = 423,135,049,474.62/903,723.72
  6. Step 6: Final answer
    x = 468,212.84

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Why These Related Problems?

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