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Finding the Fourth Proportional to 471,175, 650,221.50 and 259,207

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Solution

The fourth proportional to 471,175, 650,221.50 and 259,207 is: 357,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,175 : 650,221.50 = 259,207 : x
  2. Step 2: Convert to fraction form
    471,175/650,221.50 = 259,207/x
  3. Step 3: Cross multiply
    471,175x = 650,221.50 × 259,207
  4. Step 4: Simplify right side
    471,175x = 168,541,964,350.50
  5. Step 5: Solve for x
    x = 168,541,964,350.50/471,175
  6. Step 6: Final answer
    x = 357,705.66

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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.