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Finding the Fourth Proportional to 475,580.49, 713,395.82 and 120,597.58

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Solution

The fourth proportional to 475,580.49, 713,395.82 and 120,597.58 is: 180,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,580.49 : 713,395.82 = 120,597.58 : x
  2. Step 2: Convert to fraction form
    475,580.49/713,395.82 = 120,597.58/x
  3. Step 3: Cross multiply
    475,580.49x = 713,395.82 × 120,597.58
  4. Step 4: Simplify right side
    475,580.49x = 86,033,809,474.12
  5. Step 5: Solve for x
    x = 86,033,809,474.12/475,580.49
  6. Step 6: Final answer
    x = 180,902.73

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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.