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Finding the Fourth Proportional to 429,755.34, 644,633.01 and 163,454.34

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Solution

The fourth proportional to 429,755.34, 644,633.01 and 163,454.34 is: 245,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,755.34 : 644,633.01 = 163,454.34 : x
  2. Step 2: Convert to fraction form
    429,755.34/644,633.01 = 163,454.34/x
  3. Step 3: Cross multiply
    429,755.34x = 644,633.01 × 163,454.34
  4. Step 4: Simplify right side
    429,755.34x = 105,368,063,191.76
  5. Step 5: Solve for x
    x = 105,368,063,191.76/429,755.34
  6. Step 6: Final answer
    x = 245,181.51

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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.