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Finding the Fourth Proportional to 535,406.22, 802,709.87 and 322,124.15

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Solution

The fourth proportional to 535,406.22, 802,709.87 and 322,124.15 is: 482,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,406.22 : 802,709.87 = 322,124.15 : x
  2. Step 2: Convert to fraction form
    535,406.22/802,709.87 = 322,124.15/x
  3. Step 3: Cross multiply
    535,406.22x = 802,709.87 × 322,124.15
  4. Step 4: Simplify right side
    535,406.22x = 258,572,234,372.28
  5. Step 5: Solve for x
    x = 258,572,234,372.28/535,406.22
  6. Step 6: Final answer
    x = 482,945.90

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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.