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Finding the Fourth Proportional to 314,600.82, 434,155.77 and 171,360.51

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Solution

The fourth proportional to 314,600.82, 434,155.77 and 171,360.51 is: 236,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,600.82 : 434,155.77 = 171,360.51 : x
  2. Step 2: Convert to fraction form
    314,600.82/434,155.77 = 171,360.51/x
  3. Step 3: Cross multiply
    314,600.82x = 434,155.77 × 171,360.51
  4. Step 4: Simplify right side
    314,600.82x = 74,397,154,166.64
  5. Step 5: Solve for x
    x = 74,397,154,166.64/314,600.82
  6. Step 6: Final answer
    x = 236,481.12

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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.