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Finding the Fourth Proportional to 339,815.84, 468,957.90 and 186,865.64

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Solution

The fourth proportional to 339,815.84, 468,957.90 and 186,865.64 is: 257,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,815.84 : 468,957.90 = 186,865.64 : x
  2. Step 2: Convert to fraction form
    339,815.84/468,957.90 = 186,865.64/x
  3. Step 3: Cross multiply
    339,815.84x = 468,957.90 × 186,865.64
  4. Step 4: Simplify right side
    339,815.84x = 87,632,118,116.56
  5. Step 5: Solve for x
    x = 87,632,118,116.56/339,815.84
  6. Step 6: Final answer
    x = 257,881.20

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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.