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Finding the Fourth Proportional to 384,706.51, 576,890.15 and 204,748.51

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Solution

The fourth proportional to 384,706.51, 576,890.15 and 204,748.51 is: 307,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,706.51 : 576,890.15 = 204,748.51 : x
  2. Step 2: Convert to fraction form
    384,706.51/576,890.15 = 204,748.51/x
  3. Step 3: Cross multiply
    384,706.51x = 576,890.15 × 204,748.51
  4. Step 4: Simplify right side
    384,706.51x = 118,117,398,413.59
  5. Step 5: Solve for x
    x = 118,117,398,413.59/384,706.51
  6. Step 6: Final answer
    x = 307,032.49

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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.