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Finding the Fourth Proportional to 314,800.84, 471,857.64 and 154,986.76

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Solution

The fourth proportional to 314,800.84, 471,857.64 and 154,986.76 is: 232,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,800.84 : 471,857.64 = 154,986.76 : x
  2. Step 2: Convert to fraction form
    314,800.84/471,857.64 = 154,986.76/x
  3. Step 3: Cross multiply
    314,800.84x = 471,857.64 × 154,986.76
  4. Step 4: Simplify right side
    314,800.84x = 73,131,686,804.85
  5. Step 5: Solve for x
    x = 73,131,686,804.85/314,800.84
  6. Step 6: Final answer
    x = 232,310.96

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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.