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Finding the Fourth Proportional to 314,661.26, 434,235.52 and 178,698.04

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Solution

The fourth proportional to 314,661.26, 434,235.52 and 178,698.04 is: 246,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,661.26 : 434,235.52 = 178,698.04 : x
  2. Step 2: Convert to fraction form
    314,661.26/434,235.52 = 178,698.04/x
  3. Step 3: Cross multiply
    314,661.26x = 434,235.52 × 178,698.04
  4. Step 4: Simplify right side
    314,661.26x = 77,597,036,322.38
  5. Step 5: Solve for x
    x = 77,597,036,322.38/314,661.26
  6. Step 6: Final answer
    x = 246,604.99

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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.