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Finding the Fourth Proportional to 340,924.65, 511,386.92 and 323,877.44

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Solution

The fourth proportional to 340,924.65, 511,386.92 and 323,877.44 is: 485,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,924.65 : 511,386.92 = 323,877.44 : x
  2. Step 2: Convert to fraction form
    340,924.65/511,386.92 = 323,877.44/x
  3. Step 3: Cross multiply
    340,924.65x = 511,386.92 × 323,877.44
  4. Step 4: Simplify right side
    340,924.65x = 165,626,684,496.15
  5. Step 5: Solve for x
    x = 165,626,684,496.15/340,924.65
  6. Step 6: Final answer
    x = 485,816.11

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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.