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Finding the Fourth Proportional to 465,298.86, 696,633.66 and 379,400.52

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Solution

The fourth proportional to 465,298.86, 696,633.66 and 379,400.52 is: 568,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,298.86 : 696,633.66 = 379,400.52 : x
  2. Step 2: Convert to fraction form
    465,298.86/696,633.66 = 379,400.52/x
  3. Step 3: Cross multiply
    465,298.86x = 696,633.66 × 379,400.52
  4. Step 4: Simplify right side
    465,298.86x = 264,303,172,853.50
  5. Step 5: Solve for x
    x = 264,303,172,853.50/465,298.86
  6. Step 6: Final answer
    x = 568,028.84

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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.