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Finding the Fourth Proportional to 438,539.60, 657,299.10 and 201,906.20

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Solution

The fourth proportional to 438,539.60, 657,299.10 and 201,906.20 is: 302,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,539.60 : 657,299.10 = 201,906.20 : x
  2. Step 2: Convert to fraction form
    438,539.60/657,299.10 = 201,906.20/x
  3. Step 3: Cross multiply
    438,539.60x = 657,299.10 × 201,906.20
  4. Step 4: Simplify right side
    438,539.60x = 132,712,763,544.42
  5. Step 5: Solve for x
    x = 132,712,763,544.42/438,539.60
  6. Step 6: Final answer
    x = 302,624.35

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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.