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Finding the Fourth Proportional to 493,980.06, 740,971.93 and 120,003.06

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Solution

The fourth proportional to 493,980.06, 740,971.93 and 120,003.06 is: 180,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,980.06 : 740,971.93 = 120,003.06 : x
  2. Step 2: Convert to fraction form
    493,980.06/740,971.93 = 120,003.06/x
  3. Step 3: Cross multiply
    493,980.06x = 740,971.93 × 120,003.06
  4. Step 4: Simplify right side
    493,980.06x = 88,918,898,974.11
  5. Step 5: Solve for x
    x = 88,918,898,974.11/493,980.06
  6. Step 6: Final answer
    x = 180,005.04

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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.