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Finding the Fourth Proportional to 535,653, 803,704.78 and 333,418.17

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Solution

The fourth proportional to 535,653, 803,704.78 and 333,418.17 is: 500,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,653 : 803,704.78 = 333,418.17 : x
  2. Step 2: Convert to fraction form
    535,653/803,704.78 = 333,418.17/x
  3. Step 3: Cross multiply
    535,653x = 803,704.78 × 333,418.17
  4. Step 4: Simplify right side
    535,653x = 267,969,780,398.52
  5. Step 5: Solve for x
    x = 267,969,780,398.52/535,653
  6. Step 6: Final answer
    x = 500,267.49

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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.