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Finding the Fourth Proportional to 364,176, 546,361.20 and 114,858

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Solution

The fourth proportional to 364,176, 546,361.20 and 114,858 is: 172,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,176 : 546,361.20 = 114,858 : x
  2. Step 2: Convert to fraction form
    364,176/546,361.20 = 114,858/x
  3. Step 3: Cross multiply
    364,176x = 546,361.20 × 114,858
  4. Step 4: Simplify right side
    364,176x = 62,753,954,709.60
  5. Step 5: Solve for x
    x = 62,753,954,709.60/364,176
  6. Step 6: Final answer
    x = 172,317.66

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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.