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Finding the Fourth Proportional to 346,427.88, 519,656.28 and 109,765.32

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Solution

The fourth proportional to 346,427.88, 519,656.28 and 109,765.32 is: 164,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,427.88 : 519,656.28 = 109,765.32 : x
  2. Step 2: Convert to fraction form
    346,427.88/519,656.28 = 109,765.32/x
  3. Step 3: Cross multiply
    346,427.88x = 519,656.28 × 109,765.32
  4. Step 4: Simplify right side
    346,427.88x = 57,040,237,864.21
  5. Step 5: Solve for x
    x = 57,040,237,864.21/346,427.88
  6. Step 6: Final answer
    x = 164,652.56

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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.