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Finding the Fourth Proportional to 360,946.79, 541,952.43 and 201,334.58

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Solution

The fourth proportional to 360,946.79, 541,952.43 and 201,334.58 is: 302,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,946.79 : 541,952.43 = 201,334.58 : x
  2. Step 2: Convert to fraction form
    360,946.79/541,952.43 = 201,334.58/x
  3. Step 3: Cross multiply
    360,946.79x = 541,952.43 × 201,334.58
  4. Step 4: Simplify right side
    360,946.79x = 109,113,762,164.27
  5. Step 5: Solve for x
    x = 109,113,762,164.27/360,946.79
  6. Step 6: Final answer
    x = 302,298.75

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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.