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Finding the Fourth Proportional to 536,498.40, 804,742.20 and 216,644.88

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Solution

The fourth proportional to 536,498.40, 804,742.20 and 216,644.88 is: 324,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,498.40 : 804,742.20 = 216,644.88 : x
  2. Step 2: Convert to fraction form
    536,498.40/804,742.20 = 216,644.88/x
  3. Step 3: Cross multiply
    536,498.40x = 804,742.20 × 216,644.88
  4. Step 4: Simplify right side
    536,498.40x = 174,343,277,349.94
  5. Step 5: Solve for x
    x = 174,343,277,349.94/536,498.40
  6. Step 6: Final answer
    x = 324,965.14

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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.