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Finding the Fourth Proportional to 341,039.73, 470,643.10 and 188,080.14

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Solution

The fourth proportional to 341,039.73, 470,643.10 and 188,080.14 is: 259,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,039.73 : 470,643.10 = 188,080.14 : x
  2. Step 2: Convert to fraction form
    341,039.73/470,643.10 = 188,080.14/x
  3. Step 3: Cross multiply
    341,039.73x = 470,643.10 × 188,080.14
  4. Step 4: Simplify right side
    341,039.73x = 88,518,620,138.03
  5. Step 5: Solve for x
    x = 88,518,620,138.03/341,039.73
  6. Step 6: Final answer
    x = 259,555.16

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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.