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Finding the Fourth Proportional to 332,201.40, 497,708.10 and 202,133.40

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Solution

The fourth proportional to 332,201.40, 497,708.10 and 202,133.40 is: 302,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,201.40 : 497,708.10 = 202,133.40 : x
  2. Step 2: Convert to fraction form
    332,201.40/497,708.10 = 202,133.40/x
  3. Step 3: Cross multiply
    332,201.40x = 497,708.10 × 202,133.40
  4. Step 4: Simplify right side
    332,201.40x = 100,603,430,460.54
  5. Step 5: Solve for x
    x = 100,603,430,460.54/332,201.40
  6. Step 6: Final answer
    x = 302,838.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.