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Finding the Fourth Proportional to 540,668.40, 746,090.32 and 298,932

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Solution

The fourth proportional to 540,668.40, 746,090.32 and 298,932 is: 412,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,668.40 : 746,090.32 = 298,932 : x
  2. Step 2: Convert to fraction form
    540,668.40/746,090.32 = 298,932/x
  3. Step 3: Cross multiply
    540,668.40x = 746,090.32 × 298,932
  4. Step 4: Simplify right side
    540,668.40x = 223,030,271,538.24
  5. Step 5: Solve for x
    x = 223,030,271,538.24/540,668.40
  6. Step 6: Final answer
    x = 412,508.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.