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Finding the Fourth Proportional to 466,469.56, 644,089.64 and 364,316.68

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Solution

The fourth proportional to 466,469.56, 644,089.64 and 364,316.68 is: 503,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,469.56 : 644,089.64 = 364,316.68 : x
  2. Step 2: Convert to fraction form
    466,469.56/644,089.64 = 364,316.68/x
  3. Step 3: Cross multiply
    466,469.56x = 644,089.64 × 364,316.68
  4. Step 4: Simplify right side
    466,469.56x = 234,652,599,267.20
  5. Step 5: Solve for x
    x = 234,652,599,267.20/466,469.56
  6. Step 6: Final answer
    x = 503,039.47

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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.