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Finding the Fourth Proportional to 470,076.82, 705,395.40 and 170,580.77

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Solution

The fourth proportional to 470,076.82, 705,395.40 and 170,580.77 is: 255,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,076.82 : 705,395.40 = 170,580.77 : x
  2. Step 2: Convert to fraction form
    470,076.82/705,395.40 = 170,580.77/x
  3. Step 3: Cross multiply
    470,076.82x = 705,395.40 × 170,580.77
  4. Step 4: Simplify right side
    470,076.82x = 120,326,890,486.46
  5. Step 5: Solve for x
    x = 120,326,890,486.46/470,076.82
  6. Step 6: Final answer
    x = 255,972.82

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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.