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Finding the Fourth Proportional to 307,225.20, 460,837.80 and 305,256.90

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Solution

The fourth proportional to 307,225.20, 460,837.80 and 305,256.90 is: 457,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,225.20 : 460,837.80 = 305,256.90 : x
  2. Step 2: Convert to fraction form
    307,225.20/460,837.80 = 305,256.90/x
  3. Step 3: Cross multiply
    307,225.20x = 460,837.80 × 305,256.90
  4. Step 4: Simplify right side
    307,225.20x = 140,673,918,230.82
  5. Step 5: Solve for x
    x = 140,673,918,230.82/307,225.20
  6. Step 6: Final answer
    x = 457,885.35

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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.