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Finding the Fourth Proportional to 341,176.98, 470,822.86 and 188,224.68

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Solution

The fourth proportional to 341,176.98, 470,822.86 and 188,224.68 is: 259,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,176.98 : 470,822.86 = 188,224.68 : x
  2. Step 2: Convert to fraction form
    341,176.98/470,822.86 = 188,224.68/x
  3. Step 3: Cross multiply
    341,176.98x = 470,822.86 × 188,224.68
  4. Step 4: Simplify right side
    341,176.98x = 88,620,482,160.18
  5. Step 5: Solve for x
    x = 88,620,482,160.18/341,176.98
  6. Step 6: Final answer
    x = 259,749.30

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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.