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Finding the Fourth Proportional to 314,119.50, 471,330.45 and 156,361.74

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Solution

The fourth proportional to 314,119.50, 471,330.45 and 156,361.74 is: 234,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,119.50 : 471,330.45 = 156,361.74 : x
  2. Step 2: Convert to fraction form
    314,119.50/471,330.45 = 156,361.74/x
  3. Step 3: Cross multiply
    314,119.50x = 471,330.45 × 156,361.74
  4. Step 4: Simplify right side
    314,119.50x = 73,698,049,276.98
  5. Step 5: Solve for x
    x = 73,698,049,276.98/314,119.50
  6. Step 6: Final answer
    x = 234,617.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.