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Finding the Fourth Proportional to 341,117.14, 470,743.50 and 188,160.70

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Solution

The fourth proportional to 341,117.14, 470,743.50 and 188,160.70 is: 259,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,117.14 : 470,743.50 = 188,160.70 : x
  2. Step 2: Convert to fraction form
    341,117.14/470,743.50 = 188,160.70/x
  3. Step 3: Cross multiply
    341,117.14x = 470,743.50 × 188,160.70
  4. Step 4: Simplify right side
    341,117.14x = 88,575,426,480.45
  5. Step 5: Solve for x
    x = 88,575,426,480.45/341,117.14
  6. Step 6: Final answer
    x = 259,662.78

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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.