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Finding the Fourth Proportional to 340,746.20, 511,119.30 and 334,185.20

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Solution

The fourth proportional to 340,746.20, 511,119.30 and 334,185.20 is: 501,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,746.20 : 511,119.30 = 334,185.20 : x
  2. Step 2: Convert to fraction form
    340,746.20/511,119.30 = 334,185.20/x
  3. Step 3: Cross multiply
    340,746.20x = 511,119.30 × 334,185.20
  4. Step 4: Simplify right side
    340,746.20x = 170,808,505,494.36
  5. Step 5: Solve for x
    x = 170,808,505,494.36/340,746.20
  6. Step 6: Final answer
    x = 501,277.80

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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.