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Finding the Fourth Proportional to 329,412.80, 494,119.20 and 306,084.80

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Solution

The fourth proportional to 329,412.80, 494,119.20 and 306,084.80 is: 459,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,412.80 : 494,119.20 = 306,084.80 : x
  2. Step 2: Convert to fraction form
    329,412.80/494,119.20 = 306,084.80/x
  3. Step 3: Cross multiply
    329,412.80x = 494,119.20 × 306,084.80
  4. Step 4: Simplify right side
    329,412.80x = 151,242,376,508.16
  5. Step 5: Solve for x
    x = 151,242,376,508.16/329,412.80
  6. Step 6: Final answer
    x = 459,127.20

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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.