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Finding the Fourth Proportional to 341,410.50, 471,146.53 and 188,448.74

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Solution

The fourth proportional to 341,410.50, 471,146.53 and 188,448.74 is: 260,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,410.50 : 471,146.53 = 188,448.74 : x
  2. Step 2: Convert to fraction form
    341,410.50/471,146.53 = 188,448.74/x
  3. Step 3: Cross multiply
    341,410.50x = 471,146.53 × 188,448.74
  4. Step 4: Simplify right side
    341,410.50x = 88,786,971,347.30
  5. Step 5: Solve for x
    x = 88,786,971,347.30/341,410.50
  6. Step 6: Final answer
    x = 260,059.29

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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.