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Finding the Fourth Proportional to 402,189.60, 603,503.10 and 165,556.20

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Solution

The fourth proportional to 402,189.60, 603,503.10 and 165,556.20 is: 248,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,189.60 : 603,503.10 = 165,556.20 : x
  2. Step 2: Convert to fraction form
    402,189.60/603,503.10 = 165,556.20/x
  3. Step 3: Cross multiply
    402,189.60x = 603,503.10 × 165,556.20
  4. Step 4: Simplify right side
    402,189.60x = 99,913,679,924.22
  5. Step 5: Solve for x
    x = 99,913,679,924.22/402,189.60
  6. Step 6: Final answer
    x = 248,424.33

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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.