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Finding the Fourth Proportional to 297,999.64, 446,904.54 and 98,282.68

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Solution

The fourth proportional to 297,999.64, 446,904.54 and 98,282.68 is: 147,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,999.64 : 446,904.54 = 98,282.68 : x
  2. Step 2: Convert to fraction form
    297,999.64/446,904.54 = 98,282.68/x
  3. Step 3: Cross multiply
    297,999.64x = 446,904.54 × 98,282.68
  4. Step 4: Simplify right side
    297,999.64x = 43,922,975,895.37
  5. Step 5: Solve for x
    x = 43,922,975,895.37/297,999.64
  6. Step 6: Final answer
    x = 147,392.71

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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.