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Finding the Fourth Proportional to 470,669.65, 706,304.71 and 171,121.48

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Solution

The fourth proportional to 470,669.65, 706,304.71 and 171,121.48 is: 256,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,669.65 : 706,304.71 = 171,121.48 : x
  2. Step 2: Convert to fraction form
    470,669.65/706,304.71 = 171,121.48/x
  3. Step 3: Cross multiply
    470,669.65x = 706,304.71 × 171,121.48
  4. Step 4: Simplify right side
    470,669.65x = 120,863,907,306.17
  5. Step 5: Solve for x
    x = 120,863,907,306.17/470,669.65
  6. Step 6: Final answer
    x = 256,791.38

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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.