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Finding the Fourth Proportional to 470,951.86, 706,452.24 and 155,433.37

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Solution

The fourth proportional to 470,951.86, 706,452.24 and 155,433.37 is: 233,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,951.86 : 706,452.24 = 155,433.37 : x
  2. Step 2: Convert to fraction form
    470,951.86/706,452.24 = 155,433.37/x
  3. Step 3: Cross multiply
    470,951.86x = 706,452.24 × 155,433.37
  4. Step 4: Simplify right side
    470,951.86x = 109,806,252,407.25
  5. Step 5: Solve for x
    x = 109,806,252,407.25/470,951.86
  6. Step 6: Final answer
    x = 233,158.12

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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.