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Finding the Fourth Proportional to 307,402.45, 460,611.60 and 202,098.40

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Solution

The fourth proportional to 307,402.45, 460,611.60 and 202,098.40 is: 302,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,402.45 : 460,611.60 = 202,098.40 : x
  2. Step 2: Convert to fraction form
    307,402.45/460,611.60 = 202,098.40/x
  3. Step 3: Cross multiply
    307,402.45x = 460,611.60 × 202,098.40
  4. Step 4: Simplify right side
    307,402.45x = 93,088,867,381.44
  5. Step 5: Solve for x
    x = 93,088,867,381.44/307,402.45
  6. Step 6: Final answer
    x = 302,824.09

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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.