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Finding the Fourth Proportional to 340,395.82, 510,596.46 and 115,807.32

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Solution

The fourth proportional to 340,395.82, 510,596.46 and 115,807.32 is: 173,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,395.82 : 510,596.46 = 115,807.32 : x
  2. Step 2: Convert to fraction form
    340,395.82/510,596.46 = 115,807.32/x
  3. Step 3: Cross multiply
    340,395.82x = 510,596.46 × 115,807.32
  4. Step 4: Simplify right side
    340,395.82x = 59,130,807,634.09
  5. Step 5: Solve for x
    x = 59,130,807,634.09/340,395.82
  6. Step 6: Final answer
    x = 173,711.91

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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.