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Finding the Fourth Proportional to 298,923.40, 418,803.80 and 298,923.40

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Solution

The fourth proportional to 298,923.40, 418,803.80 and 298,923.40 is: 418,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,923.40 : 418,803.80 = 298,923.40 : x
  2. Step 2: Convert to fraction form
    298,923.40/418,803.80 = 298,923.40/x
  3. Step 3: Cross multiply
    298,923.40x = 418,803.80 × 298,923.40
  4. Step 4: Simplify right side
    298,923.40x = 125,190,255,828.92
  5. Step 5: Solve for x
    x = 125,190,255,828.92/298,923.40
  6. Step 6: Final answer
    x = 418,803.80

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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.