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Finding the Fourth Proportional to 301,682.10, 452,523.15 and 161,714.10

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Solution

The fourth proportional to 301,682.10, 452,523.15 and 161,714.10 is: 242,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,682.10 : 452,523.15 = 161,714.10 : x
  2. Step 2: Convert to fraction form
    301,682.10/452,523.15 = 161,714.10/x
  3. Step 3: Cross multiply
    301,682.10x = 452,523.15 × 161,714.10
  4. Step 4: Simplify right side
    301,682.10x = 73,179,373,931.42
  5. Step 5: Solve for x
    x = 73,179,373,931.42/301,682.10
  6. Step 6: Final answer
    x = 242,571.15

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1.5x scale

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.