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Finding the Fourth Proportional to 470,153.24, 705,225 and 115,169.12

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Solution

The fourth proportional to 470,153.24, 705,225 and 115,169.12 is: 172,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,153.24 : 705,225 = 115,169.12 : x
  2. Step 2: Convert to fraction form
    470,153.24/705,225 = 115,169.12/x
  3. Step 3: Cross multiply
    470,153.24x = 705,225 × 115,169.12
  4. Step 4: Simplify right side
    470,153.24x = 81,220,142,652
  5. Step 5: Solve for x
    x = 81,220,142,652/470,153.24
  6. Step 6: Final answer
    x = 172,752.49

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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.