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Finding the Fourth Proportional to 360,959.16, 541,971 and 201,346.96

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Solution

The fourth proportional to 360,959.16, 541,971 and 201,346.96 is: 302,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,959.16 : 541,971 = 201,346.96 : x
  2. Step 2: Convert to fraction form
    360,959.16/541,971 = 201,346.96/x
  3. Step 3: Cross multiply
    360,959.16x = 541,971 × 201,346.96
  4. Step 4: Simplify right side
    360,959.16x = 109,124,213,258.16
  5. Step 5: Solve for x
    x = 109,124,213,258.16/360,959.16
  6. Step 6: Final answer
    x = 302,317.34

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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.