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Finding the Fourth Proportional to 434,095.43, 651,365.42 and 206,648.46

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Solution

The fourth proportional to 434,095.43, 651,365.42 and 206,648.46 is: 310,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,095.43 : 651,365.42 = 206,648.46 : x
  2. Step 2: Convert to fraction form
    434,095.43/651,365.42 = 206,648.46/x
  3. Step 3: Cross multiply
    434,095.43x = 651,365.42 × 206,648.46
  4. Step 4: Simplify right side
    434,095.43x = 134,603,659,907.01
  5. Step 5: Solve for x
    x = 134,603,659,907.01/434,095.43
  6. Step 6: Final answer
    x = 310,078.50

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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.