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Finding the Fourth Proportional to 491,054.40, 689,342.40 and 491,054.40

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Solution

The fourth proportional to 491,054.40, 689,342.40 and 491,054.40 is: 689,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,054.40 : 689,342.40 = 491,054.40 : x
  2. Step 2: Convert to fraction form
    491,054.40/689,342.40 = 491,054.40/x
  3. Step 3: Cross multiply
    491,054.40x = 689,342.40 × 491,054.40
  4. Step 4: Simplify right side
    491,054.40x = 338,504,618,626.56
  5. Step 5: Solve for x
    x = 338,504,618,626.56/491,054.40
  6. Step 6: Final answer
    x = 689,342.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.