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Finding the Fourth Proportional to 456,057.64, 629,354.90 and 254,853.64

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Solution

The fourth proportional to 456,057.64, 629,354.90 and 254,853.64 is: 351,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,057.64 : 629,354.90 = 254,853.64 : x
  2. Step 2: Convert to fraction form
    456,057.64/629,354.90 = 254,853.64/x
  3. Step 3: Cross multiply
    456,057.64x = 629,354.90 × 254,853.64
  4. Step 4: Simplify right side
    456,057.64x = 160,393,387,116.84
  5. Step 5: Solve for x
    x = 160,393,387,116.84/456,057.64
  6. Step 6: Final answer
    x = 351,695.43

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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.