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Finding the Fourth Proportional to 341,221.47, 470,887.29 and 188,259.66

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Solution

The fourth proportional to 341,221.47, 470,887.29 and 188,259.66 is: 259,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,221.47 : 470,887.29 = 188,259.66 : x
  2. Step 2: Convert to fraction form
    341,221.47/470,887.29 = 188,259.66/x
  3. Step 3: Cross multiply
    341,221.47x = 470,887.29 × 188,259.66
  4. Step 4: Simplify right side
    341,221.47x = 88,649,081,113.72
  5. Step 5: Solve for x
    x = 88,649,081,113.72/341,221.47
  6. Step 6: Final answer
    x = 259,799.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.