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Finding the Fourth Proportional to 297,923.40, 447,057.90 and 110,953.80

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Solution

The fourth proportional to 297,923.40, 447,057.90 and 110,953.80 is: 166,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,923.40 : 447,057.90 = 110,953.80 : x
  2. Step 2: Convert to fraction form
    297,923.40/447,057.90 = 110,953.80/x
  3. Step 3: Cross multiply
    297,923.40x = 447,057.90 × 110,953.80
  4. Step 4: Simplify right side
    297,923.40x = 49,602,772,825.02
  5. Step 5: Solve for x
    x = 49,602,772,825.02/297,923.40
  6. Step 6: Final answer
    x = 166,495.05

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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.