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Finding the Fourth Proportional to 470,076.57, 705,395.03 and 170,580.51

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Solution

The fourth proportional to 470,076.57, 705,395.03 and 170,580.51 is: 255,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,076.57 : 705,395.03 = 170,580.51 : x
  2. Step 2: Convert to fraction form
    470,076.57/705,395.03 = 170,580.51/x
  3. Step 3: Cross multiply
    470,076.57x = 705,395.03 × 170,580.51
  4. Step 4: Simplify right side
    470,076.57x = 120,326,643,115.96
  5. Step 5: Solve for x
    x = 120,326,643,115.96/470,076.57
  6. Step 6: Final answer
    x = 255,972.43

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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.