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Finding the Fourth Proportional to 469,087.42, 647,338.08 and 254,225.20

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Solution

The fourth proportional to 469,087.42, 647,338.08 and 254,225.20 is: 350,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,087.42 : 647,338.08 = 254,225.20 : x
  2. Step 2: Convert to fraction form
    469,087.42/647,338.08 = 254,225.20/x
  3. Step 3: Cross multiply
    469,087.42x = 647,338.08 × 254,225.20
  4. Step 4: Simplify right side
    469,087.42x = 164,569,652,855.62
  5. Step 5: Solve for x
    x = 164,569,652,855.62/469,087.42
  6. Step 6: Final answer
    x = 350,829.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.