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Finding the Fourth Proportional to 341,853.40, 512,780.10 and 164,706.40

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Solution

The fourth proportional to 341,853.40, 512,780.10 and 164,706.40 is: 247,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,853.40 : 512,780.10 = 164,706.40 : x
  2. Step 2: Convert to fraction form
    341,853.40/512,780.10 = 164,706.40/x
  3. Step 3: Cross multiply
    341,853.40x = 512,780.10 × 164,706.40
  4. Step 4: Simplify right side
    341,853.40x = 84,458,164,262.64
  5. Step 5: Solve for x
    x = 84,458,164,262.64/341,853.40
  6. Step 6: Final answer
    x = 247,059.60

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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.