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Finding the Fourth Proportional to 294,938.80, 442,408.20 and 168,530.20

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Solution

The fourth proportional to 294,938.80, 442,408.20 and 168,530.20 is: 252,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,938.80 : 442,408.20 = 168,530.20 : x
  2. Step 2: Convert to fraction form
    294,938.80/442,408.20 = 168,530.20/x
  3. Step 3: Cross multiply
    294,938.80x = 442,408.20 × 168,530.20
  4. Step 4: Simplify right side
    294,938.80x = 74,559,142,427.64
  5. Step 5: Solve for x
    x = 74,559,142,427.64/294,938.80
  6. Step 6: Final answer
    x = 252,795.30

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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.