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Finding the Fourth Proportional to 468,032.40, 701,789.40 and 201,747.60

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Solution

The fourth proportional to 468,032.40, 701,789.40 and 201,747.60 is: 302,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032.40 : 701,789.40 = 201,747.60 : x
  2. Step 2: Convert to fraction form
    468,032.40/701,789.40 = 201,747.60/x
  3. Step 3: Cross multiply
    468,032.40x = 701,789.40 × 201,747.60
  4. Step 4: Simplify right side
    468,032.40x = 141,584,327,155.44
  5. Step 5: Solve for x
    x = 141,584,327,155.44/468,032.40
  6. Step 6: Final answer
    x = 302,509.67

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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.