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Finding the Fourth Proportional to 334,486.48, 461,472.18 and 198,416.20

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Solution

The fourth proportional to 334,486.48, 461,472.18 and 198,416.20 is: 273,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,486.48 : 461,472.18 = 198,416.20 : x
  2. Step 2: Convert to fraction form
    334,486.48/461,472.18 = 198,416.20/x
  3. Step 3: Cross multiply
    334,486.48x = 461,472.18 × 198,416.20
  4. Step 4: Simplify right side
    334,486.48x = 91,563,556,361.32
  5. Step 5: Solve for x
    x = 91,563,556,361.32/334,486.48
  6. Step 6: Final answer
    x = 273,743.67

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1.5x scale

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.