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Finding the Fourth Proportional to 470,784.45, 706,176.69 and 150,935.70

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Solution

The fourth proportional to 470,784.45, 706,176.69 and 150,935.70 is: 226,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,784.45 : 706,176.69 = 150,935.70 : x
  2. Step 2: Convert to fraction form
    470,784.45/706,176.69 = 150,935.70/x
  3. Step 3: Cross multiply
    470,784.45x = 706,176.69 × 150,935.70
  4. Step 4: Simplify right side
    470,784.45x = 106,587,273,028.83
  5. Step 5: Solve for x
    x = 106,587,273,028.83/470,784.45
  6. Step 6: Final answer
    x = 226,403.55

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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.