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Finding the Fourth Proportional to 340,983.20, 511,474.80 and 119,389.60

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Solution

The fourth proportional to 340,983.20, 511,474.80 and 119,389.60 is: 179,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,983.20 : 511,474.80 = 119,389.60 : x
  2. Step 2: Convert to fraction form
    340,983.20/511,474.80 = 119,389.60/x
  3. Step 3: Cross multiply
    340,983.20x = 511,474.80 × 119,389.60
  4. Step 4: Simplify right side
    340,983.20x = 61,064,771,782.08
  5. Step 5: Solve for x
    x = 61,064,771,782.08/340,983.20
  6. Step 6: Final answer
    x = 179,084.40

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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.