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Finding the Fourth Proportional to 452,577, 678,952.92 and 172,072.44

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Solution

The fourth proportional to 452,577, 678,952.92 and 172,072.44 is: 258,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,577 : 678,952.92 = 172,072.44 : x
  2. Step 2: Convert to fraction form
    452,577/678,952.92 = 172,072.44/x
  3. Step 3: Cross multiply
    452,577x = 678,952.92 × 172,072.44
  4. Step 4: Simplify right side
    452,577x = 116,829,085,589.53
  5. Step 5: Solve for x
    x = 116,829,085,589.53/452,577
  6. Step 6: Final answer
    x = 258,141.90

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1.5x scale

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.