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Finding the Fourth Proportional to 341,913.40, 512,964.90 and 142,327.80

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Solution

The fourth proportional to 341,913.40, 512,964.90 and 142,327.80 is: 213,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,913.40 : 512,964.90 = 142,327.80 : x
  2. Step 2: Convert to fraction form
    341,913.40/512,964.90 = 142,327.80/x
  3. Step 3: Cross multiply
    341,913.40x = 512,964.90 × 142,327.80
  4. Step 4: Simplify right side
    341,913.40x = 73,009,165,694.22
  5. Step 5: Solve for x
    x = 73,009,165,694.22/341,913.40
  6. Step 6: Final answer
    x = 213,531.16

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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.