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Finding the Fourth Proportional to 470,879.88, 706,763.76 and 171,649.68

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Solution

The fourth proportional to 470,879.88, 706,763.76 and 171,649.68 is: 257,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,879.88 : 706,763.76 = 171,649.68 : x
  2. Step 2: Convert to fraction form
    470,879.88/706,763.76 = 171,649.68/x
  3. Step 3: Cross multiply
    470,879.88x = 706,763.76 × 171,649.68
  4. Step 4: Simplify right side
    470,879.88x = 121,315,773,239.60
  5. Step 5: Solve for x
    x = 121,315,773,239.60/470,879.88
  6. Step 6: Final answer
    x = 257,636.35

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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.