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Finding the Fourth Proportional to 407,234.04, 610,938.83 and 122,900.81

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Solution

The fourth proportional to 407,234.04, 610,938.83 and 122,900.81 is: 184,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,234.04 : 610,938.83 = 122,900.81 : x
  2. Step 2: Convert to fraction form
    407,234.04/610,938.83 = 122,900.81/x
  3. Step 3: Cross multiply
    407,234.04x = 610,938.83 × 122,900.81
  4. Step 4: Simplify right side
    407,234.04x = 75,084,874,320.01
  5. Step 5: Solve for x
    x = 75,084,874,320.01/407,234.04
  6. Step 6: Final answer
    x = 184,377.70

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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.