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Finding the Fourth Proportional to 384,076.40, 574,802.40 and 336,837.20

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Solution

The fourth proportional to 384,076.40, 574,802.40 and 336,837.20 is: 504,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,076.40 : 574,802.40 = 336,837.20 : x
  2. Step 2: Convert to fraction form
    384,076.40/574,802.40 = 336,837.20/x
  3. Step 3: Cross multiply
    384,076.40x = 574,802.40 × 336,837.20
  4. Step 4: Simplify right side
    384,076.40x = 193,614,830,969.28
  5. Step 5: Solve for x
    x = 193,614,830,969.28/384,076.40
  6. Step 6: Final answer
    x = 504,104.99

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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.