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Finding the Fourth Proportional to 328,232.60, 492,057.30 and 194,971.40

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Solution

The fourth proportional to 328,232.60, 492,057.30 and 194,971.40 is: 292,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,232.60 : 492,057.30 = 194,971.40 : x
  2. Step 2: Convert to fraction form
    328,232.60/492,057.30 = 194,971.40/x
  3. Step 3: Cross multiply
    328,232.60x = 492,057.30 × 194,971.40
  4. Step 4: Simplify right side
    328,232.60x = 95,937,100,661.22
  5. Step 5: Solve for x
    x = 95,937,100,661.22/328,232.60
  6. Step 6: Final answer
    x = 292,283.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.