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Finding the Fourth Proportional to 346,040.64, 519,065.28 and 109,404

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Solution

The fourth proportional to 346,040.64, 519,065.28 and 109,404 is: 164,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,040.64 : 519,065.28 = 109,404 : x
  2. Step 2: Convert to fraction form
    346,040.64/519,065.28 = 109,404/x
  3. Step 3: Cross multiply
    346,040.64x = 519,065.28 × 109,404
  4. Step 4: Simplify right side
    346,040.64x = 56,787,817,893.12
  5. Step 5: Solve for x
    x = 56,787,817,893.12/346,040.64
  6. Step 6: Final answer
    x = 164,107.37

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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.