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Finding the Fourth Proportional to 497,654.10, 746,039.16 and 193,978.26

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Solution

The fourth proportional to 497,654.10, 746,039.16 and 193,978.26 is: 290,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,654.10 : 746,039.16 = 193,978.26 : x
  2. Step 2: Convert to fraction form
    497,654.10/746,039.16 = 193,978.26/x
  3. Step 3: Cross multiply
    497,654.10x = 746,039.16 × 193,978.26
  4. Step 4: Simplify right side
    497,654.10x = 144,715,378,148.66
  5. Step 5: Solve for x
    x = 144,715,378,148.66/497,654.10
  6. Step 6: Final answer
    x = 290,795.11

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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.