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Finding the Fourth Proportional to 301,354.64, 415,744.84 and 173,939.92

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Solution

The fourth proportional to 301,354.64, 415,744.84 and 173,939.92 is: 239,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,354.64 : 415,744.84 = 173,939.92 : x
  2. Step 2: Convert to fraction form
    301,354.64/415,744.84 = 173,939.92/x
  3. Step 3: Cross multiply
    301,354.64x = 415,744.84 × 173,939.92
  4. Step 4: Simplify right side
    301,354.64x = 72,314,624,210.01
  5. Step 5: Solve for x
    x = 72,314,624,210.01/301,354.64
  6. Step 6: Final answer
    x = 239,965.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.