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Finding the Fourth Proportional to 313,835.04, 470,599.47 and 111,362.58

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Solution

The fourth proportional to 313,835.04, 470,599.47 and 111,362.58 is: 166,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,835.04 : 470,599.47 = 111,362.58 : x
  2. Step 2: Convert to fraction form
    313,835.04/470,599.47 = 111,362.58/x
  3. Step 3: Cross multiply
    313,835.04x = 470,599.47 × 111,362.58
  4. Step 4: Simplify right side
    313,835.04x = 52,407,171,125.83
  5. Step 5: Solve for x
    x = 52,407,171,125.83/313,835.04
  6. Step 6: Final answer
    x = 166,989.55

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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.