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Finding the Fourth Proportional to 432,013.49, 648,162.42 and 204,406.93

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Solution

The fourth proportional to 432,013.49, 648,162.42 and 204,406.93 is: 306,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,013.49 : 648,162.42 = 204,406.93 : x
  2. Step 2: Convert to fraction form
    432,013.49/648,162.42 = 204,406.93/x
  3. Step 3: Cross multiply
    432,013.49x = 648,162.42 × 204,406.93
  4. Step 4: Simplify right side
    432,013.49x = 132,488,890,413.57
  5. Step 5: Solve for x
    x = 132,488,890,413.57/432,013.49
  6. Step 6: Final answer
    x = 306,677.67

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1.5x scale

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.