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Finding the Fourth Proportional to 340,461.64, 509,914.14 and 163,093.96

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Solution

The fourth proportional to 340,461.64, 509,914.14 and 163,093.96 is: 244,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,461.64 : 509,914.14 = 163,093.96 : x
  2. Step 2: Convert to fraction form
    340,461.64/509,914.14 = 163,093.96/x
  3. Step 3: Cross multiply
    340,461.64x = 509,914.14 × 163,093.96
  4. Step 4: Simplify right side
    340,461.64x = 83,163,916,352.59
  5. Step 5: Solve for x
    x = 83,163,916,352.59/340,461.64
  6. Step 6: Final answer
    x = 244,268.10

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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.