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Finding the Fourth Proportional to 470,992.24, 706,520.76 and 155,670.58

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Solution

The fourth proportional to 470,992.24, 706,520.76 and 155,670.58 is: 233,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,992.24 : 706,520.76 = 155,670.58 : x
  2. Step 2: Convert to fraction form
    470,992.24/706,520.76 = 155,670.58/x
  3. Step 3: Cross multiply
    470,992.24x = 706,520.76 × 155,670.58
  4. Step 4: Simplify right side
    470,992.24x = 109,984,496,491.24
  5. Step 5: Solve for x
    x = 109,984,496,491.24/470,992.24
  6. Step 6: Final answer
    x = 233,516.58

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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.