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Finding the Fourth Proportional to 331,655.46, 457,684.50 and 180,752.46

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Solution

The fourth proportional to 331,655.46, 457,684.50 and 180,752.46 is: 249,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,655.46 : 457,684.50 = 180,752.46 : x
  2. Step 2: Convert to fraction form
    331,655.46/457,684.50 = 180,752.46/x
  3. Step 3: Cross multiply
    331,655.46x = 457,684.50 × 180,752.46
  4. Step 4: Simplify right side
    331,655.46x = 82,727,599,278.87
  5. Step 5: Solve for x
    x = 82,727,599,278.87/331,655.46
  6. Step 6: Final answer
    x = 249,438.38

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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.