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Finding the Fourth Proportional to 307,292.50, 460,986.24 and 104,841.20

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Solution

The fourth proportional to 307,292.50, 460,986.24 and 104,841.20 is: 157,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,292.50 : 460,986.24 = 104,841.20 : x
  2. Step 2: Convert to fraction form
    307,292.50/460,986.24 = 104,841.20/x
  3. Step 3: Cross multiply
    307,292.50x = 460,986.24 × 104,841.20
  4. Step 4: Simplify right side
    307,292.50x = 48,330,351,540.98
  5. Step 5: Solve for x
    x = 48,330,351,540.98/307,292.50
  6. Step 6: Final answer
    x = 157,278.00

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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.