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Finding the Fourth Proportional to 531,729.45, 733,768.74 and 316,758.15

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Solution

The fourth proportional to 531,729.45, 733,768.74 and 316,758.15 is: 437,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,729.45 : 733,768.74 = 316,758.15 : x
  2. Step 2: Convert to fraction form
    531,729.45/733,768.74 = 316,758.15/x
  3. Step 3: Cross multiply
    531,729.45x = 733,768.74 × 316,758.15
  4. Step 4: Simplify right side
    531,729.45x = 232,427,228,610.23
  5. Step 5: Solve for x
    x = 232,427,228,610.23/531,729.45
  6. Step 6: Final answer
    x = 437,115.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.