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Finding the Fourth Proportional to 405,214.67, 607,338.89 and 188,783.08

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Solution

The fourth proportional to 405,214.67, 607,338.89 and 188,783.08 is: 282,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,214.67 : 607,338.89 = 188,783.08 : x
  2. Step 2: Convert to fraction form
    405,214.67/607,338.89 = 188,783.08/x
  3. Step 3: Cross multiply
    405,214.67x = 607,338.89 × 188,783.08
  4. Step 4: Simplify right side
    405,214.67x = 114,655,305,211.59
  5. Step 5: Solve for x
    x = 114,655,305,211.59/405,214.67
  6. Step 6: Final answer
    x = 282,949.54

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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.