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Finding the Fourth Proportional to 341,682.76, 512,167.50 and 116,977

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Solution

The fourth proportional to 341,682.76, 512,167.50 and 116,977 is: 175,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,682.76 : 512,167.50 = 116,977 : x
  2. Step 2: Convert to fraction form
    341,682.76/512,167.50 = 116,977/x
  3. Step 3: Cross multiply
    341,682.76x = 512,167.50 × 116,977
  4. Step 4: Simplify right side
    341,682.76x = 59,911,817,647.50
  5. Step 5: Solve for x
    x = 59,911,817,647.50/341,682.76
  6. Step 6: Final answer
    x = 175,343.40

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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.