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Finding the Fourth Proportional to 475,868.31, 713,800.70 and 116,035.03

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Solution

The fourth proportional to 475,868.31, 713,800.70 and 116,035.03 is: 174,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,868.31 : 713,800.70 = 116,035.03 : x
  2. Step 2: Convert to fraction form
    475,868.31/713,800.70 = 116,035.03/x
  3. Step 3: Cross multiply
    475,868.31x = 713,800.70 × 116,035.03
  4. Step 4: Simplify right side
    475,868.31x = 82,825,881,489.34
  5. Step 5: Solve for x
    x = 82,825,881,489.34/475,868.31
  6. Step 6: Final answer
    x = 174,052.11

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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.