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Finding the Fourth Proportional to 502,004, 692,770.38 and 275,654.36

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Solution

The fourth proportional to 502,004, 692,770.38 and 275,654.36 is: 380,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,004 : 692,770.38 = 275,654.36 : x
  2. Step 2: Convert to fraction form
    502,004/692,770.38 = 275,654.36/x
  3. Step 3: Cross multiply
    502,004x = 692,770.38 × 275,654.36
  4. Step 4: Simplify right side
    502,004x = 190,965,175,725.86
  5. Step 5: Solve for x
    x = 190,965,175,725.86/502,004
  6. Step 6: Final answer
    x = 380,405.69

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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.