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Finding the Fourth Proportional to 314,511.81, 471,435.50 and 154,364.94

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Solution

The fourth proportional to 314,511.81, 471,435.50 and 154,364.94 is: 231,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,511.81 : 471,435.50 = 154,364.94 : x
  2. Step 2: Convert to fraction form
    314,511.81/471,435.50 = 154,364.94/x
  3. Step 3: Cross multiply
    314,511.81x = 471,435.50 × 154,364.94
  4. Step 4: Simplify right side
    314,511.81x = 72,773,113,057.28
  5. Step 5: Solve for x
    x = 72,773,113,057.28/314,511.81
  6. Step 6: Final answer
    x = 231,384.36

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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.