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Finding the Fourth Proportional to 267,804.40, 401,965.80 and 162,828.40

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Solution

The fourth proportional to 267,804.40, 401,965.80 and 162,828.40 is: 244,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,804.40 : 401,965.80 = 162,828.40 : x
  2. Step 2: Convert to fraction form
    267,804.40/401,965.80 = 162,828.40/x
  3. Step 3: Cross multiply
    267,804.40x = 401,965.80 × 162,828.40
  4. Step 4: Simplify right side
    267,804.40x = 65,451,448,068.72
  5. Step 5: Solve for x
    x = 65,451,448,068.72/267,804.40
  6. Step 6: Final answer
    x = 244,400.20

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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.