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Finding the Fourth Proportional to 402,213.60, 603,539.10 and 165,580.20

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Solution

The fourth proportional to 402,213.60, 603,539.10 and 165,580.20 is: 248,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,213.60 : 603,539.10 = 165,580.20 : x
  2. Step 2: Convert to fraction form
    402,213.60/603,539.10 = 165,580.20/x
  3. Step 3: Cross multiply
    402,213.60x = 603,539.10 × 165,580.20
  4. Step 4: Simplify right side
    402,213.60x = 99,934,124,885.82
  5. Step 5: Solve for x
    x = 99,934,124,885.82/402,213.60
  6. Step 6: Final answer
    x = 248,460.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.