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Finding the Fourth Proportional to 297,852.64, 446,800.64 and 110,864

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Solution

The fourth proportional to 297,852.64, 446,800.64 and 110,864 is: 166,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,852.64 : 446,800.64 = 110,864 : x
  2. Step 2: Convert to fraction form
    297,852.64/446,800.64 = 110,864/x
  3. Step 3: Cross multiply
    297,852.64x = 446,800.64 × 110,864
  4. Step 4: Simplify right side
    297,852.64x = 49,534,106,152.96
  5. Step 5: Solve for x
    x = 49,534,106,152.96/297,852.64
  6. Step 6: Final answer
    x = 166,304.07

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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.