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Finding the Fourth Proportional to 298,913.40, 418,789.80 and 298,913.40

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Solution

The fourth proportional to 298,913.40, 418,789.80 and 298,913.40 is: 418,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,913.40 : 418,789.80 = 298,913.40 : x
  2. Step 2: Convert to fraction form
    298,913.40/418,789.80 = 298,913.40/x
  3. Step 3: Cross multiply
    298,913.40x = 418,789.80 × 298,913.40
  4. Step 4: Simplify right side
    298,913.40x = 125,181,883,003.32
  5. Step 5: Solve for x
    x = 125,181,883,003.32/298,913.40
  6. Step 6: Final answer
    x = 418,789.80

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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.