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Finding the Fourth Proportional to 493,406.41, 739,346.75 and 385,078.93

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Solution

The fourth proportional to 493,406.41, 739,346.75 and 385,078.93 is: 577,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,406.41 : 739,346.75 = 385,078.93 : x
  2. Step 2: Convert to fraction form
    493,406.41/739,346.75 = 385,078.93/x
  3. Step 3: Cross multiply
    493,406.41x = 739,346.75 × 385,078.93
  4. Step 4: Simplify right side
    493,406.41x = 284,706,853,600.78
  5. Step 5: Solve for x
    x = 284,706,853,600.78/493,406.41
  6. Step 6: Final answer
    x = 577,023.01

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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.