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Finding the Fourth Proportional to 345,828, 477,242.64 and 186,852

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Solution

The fourth proportional to 345,828, 477,242.64 and 186,852 is: 257,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,828 : 477,242.64 = 186,852 : x
  2. Step 2: Convert to fraction form
    345,828/477,242.64 = 186,852/x
  3. Step 3: Cross multiply
    345,828x = 477,242.64 × 186,852
  4. Step 4: Simplify right side
    345,828x = 89,173,741,769.28
  5. Step 5: Solve for x
    x = 89,173,741,769.28/345,828
  6. Step 6: Final answer
    x = 257,855.76

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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.