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Finding the Fourth Proportional to 429,777.72, 644,009.94 and 180,323.64

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Solution

The fourth proportional to 429,777.72, 644,009.94 and 180,323.64 is: 270,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,777.72 : 644,009.94 = 180,323.64 : x
  2. Step 2: Convert to fraction form
    429,777.72/644,009.94 = 180,323.64/x
  3. Step 3: Cross multiply
    429,777.72x = 644,009.94 × 180,323.64
  4. Step 4: Simplify right side
    429,777.72x = 116,130,216,576.98
  5. Step 5: Solve for x
    x = 116,130,216,576.98/429,777.72
  6. Step 6: Final answer
    x = 270,209.95

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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.