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Finding the Fourth Proportional to 341,782.40, 512,763.20 and 131,427.20

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Solution

The fourth proportional to 341,782.40, 512,763.20 and 131,427.20 is: 197,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,782.40 : 512,763.20 = 131,427.20 : x
  2. Step 2: Convert to fraction form
    341,782.40/512,763.20 = 131,427.20/x
  3. Step 3: Cross multiply
    341,782.40x = 512,763.20 × 131,427.20
  4. Step 4: Simplify right side
    341,782.40x = 67,391,031,639.04
  5. Step 5: Solve for x
    x = 67,391,031,639.04/341,782.40
  6. Step 6: Final answer
    x = 197,175.25

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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.