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Finding the Fourth Proportional to 535,113.54, 801,677.86 and 382,996.76

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Solution

The fourth proportional to 535,113.54, 801,677.86 and 382,996.76 is: 573,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,113.54 : 801,677.86 = 382,996.76 : x
  2. Step 2: Convert to fraction form
    535,113.54/801,677.86 = 382,996.76/x
  3. Step 3: Cross multiply
    535,113.54x = 801,677.86 × 382,996.76
  4. Step 4: Simplify right side
    535,113.54x = 307,040,017,977.85
  5. Step 5: Solve for x
    x = 307,040,017,977.85/535,113.54
  6. Step 6: Final answer
    x = 573,784.80

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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.