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Finding the Fourth Proportional to 314,657.64, 434,230.52 and 178,694.42

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Solution

The fourth proportional to 314,657.64, 434,230.52 and 178,694.42 is: 246,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,657.64 : 434,230.52 = 178,694.42 : x
  2. Step 2: Convert to fraction form
    314,657.64/434,230.52 = 178,694.42/x
  3. Step 3: Cross multiply
    314,657.64x = 434,230.52 × 178,694.42
  4. Step 4: Simplify right side
    314,657.64x = 77,594,567,853.07
  5. Step 5: Solve for x
    x = 77,594,567,853.07/314,657.64
  6. Step 6: Final answer
    x = 246,599.98

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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.