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Finding the Fourth Proportional to 429,754.34, 644,631.52 and 163,453.34

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Solution

The fourth proportional to 429,754.34, 644,631.52 and 163,453.34 is: 245,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,754.34 : 644,631.52 = 163,453.34 : x
  2. Step 2: Convert to fraction form
    429,754.34/644,631.52 = 163,453.34/x
  3. Step 3: Cross multiply
    429,754.34x = 644,631.52 × 163,453.34
  4. Step 4: Simplify right side
    429,754.34x = 105,367,175,013.28
  5. Step 5: Solve for x
    x = 105,367,175,013.28/429,754.34
  6. Step 6: Final answer
    x = 245,180.01

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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.