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Finding the Fourth Proportional to 497,202.65, 686,144.17 and 300,973.64

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Solution

The fourth proportional to 497,202.65, 686,144.17 and 300,973.64 is: 415,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,202.65 : 686,144.17 = 300,973.64 : x
  2. Step 2: Convert to fraction form
    497,202.65/686,144.17 = 300,973.64/x
  3. Step 3: Cross multiply
    497,202.65x = 686,144.17 × 300,973.64
  4. Step 4: Simplify right side
    497,202.65x = 206,511,305,355.18
  5. Step 5: Solve for x
    x = 206,511,305,355.18/497,202.65
  6. Step 6: Final answer
    x = 415,346.35

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1.5x scale

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.