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Finding the Fourth Proportional to 429,563.61, 644,098.50 and 177,018.44

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Solution

The fourth proportional to 429,563.61, 644,098.50 and 177,018.44 is: 265,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,563.61 : 644,098.50 = 177,018.44 : x
  2. Step 2: Convert to fraction form
    429,563.61/644,098.50 = 177,018.44/x
  3. Step 3: Cross multiply
    429,563.61x = 644,098.50 × 177,018.44
  4. Step 4: Simplify right side
    429,563.61x = 114,017,308,455.85
  5. Step 5: Solve for x
    x = 114,017,308,455.85/429,563.61
  6. Step 6: Final answer
    x = 265,425.90

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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.