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Finding the Fourth Proportional to 353,978.60, 531,582.30 and 188,090.60

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Solution

The fourth proportional to 353,978.60, 531,582.30 and 188,090.60 is: 282,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,978.60 : 531,582.30 = 188,090.60 : x
  2. Step 2: Convert to fraction form
    353,978.60/531,582.30 = 188,090.60/x
  3. Step 3: Cross multiply
    353,978.60x = 531,582.30 × 188,090.60
  4. Step 4: Simplify right side
    353,978.60x = 99,985,633,756.38
  5. Step 5: Solve for x
    x = 99,985,633,756.38/353,978.60
  6. Step 6: Final answer
    x = 282,462.37

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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.