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Finding the Fourth Proportional to 469,540, 704,413.68 and 174,052

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Solution

The fourth proportional to 469,540, 704,413.68 and 174,052 is: 261,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,540 : 704,413.68 = 174,052 : x
  2. Step 2: Convert to fraction form
    469,540/704,413.68 = 174,052/x
  3. Step 3: Cross multiply
    469,540x = 704,413.68 × 174,052
  4. Step 4: Simplify right side
    469,540x = 122,604,609,831.36
  5. Step 5: Solve for x
    x = 122,604,609,831.36/469,540
  6. Step 6: Final answer
    x = 261,116.43

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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.