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Finding the Fourth Proportional to 497,592.88, 746,678.40 and 209,383.39

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Solution

The fourth proportional to 497,592.88, 746,678.40 and 209,383.39 is: 314,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,592.88 : 746,678.40 = 209,383.39 : x
  2. Step 2: Convert to fraction form
    497,592.88/746,678.40 = 209,383.39/x
  3. Step 3: Cross multiply
    497,592.88x = 746,678.40 × 209,383.39
  4. Step 4: Simplify right side
    497,592.88x = 156,342,054,631.78
  5. Step 5: Solve for x
    x = 156,342,054,631.78/497,592.88
  6. Step 6: Final answer
    x = 314,196.73

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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.