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Finding the Fourth Proportional to 503,213.88, 693,683.82 and 333,152.76

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Solution

The fourth proportional to 503,213.88, 693,683.82 and 333,152.76 is: 459,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,213.88 : 693,683.82 = 333,152.76 : x
  2. Step 2: Convert to fraction form
    503,213.88/693,683.82 = 333,152.76/x
  3. Step 3: Cross multiply
    503,213.88x = 693,683.82 × 333,152.76
  4. Step 4: Simplify right side
    503,213.88x = 231,102,679,200.34
  5. Step 5: Solve for x
    x = 231,102,679,200.34/503,213.88
  6. Step 6: Final answer
    x = 459,253.39

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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.