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Finding the Fourth Proportional to 483,692.48, 724,332 and 305,662.40

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Solution

The fourth proportional to 483,692.48, 724,332 and 305,662.40 is: 457,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,692.48 : 724,332 = 305,662.40 : x
  2. Step 2: Convert to fraction form
    483,692.48/724,332 = 305,662.40/x
  3. Step 3: Cross multiply
    483,692.48x = 724,332 × 305,662.40
  4. Step 4: Simplify right side
    483,692.48x = 221,401,057,516.80
  5. Step 5: Solve for x
    x = 221,401,057,516.80/483,692.48
  6. Step 6: Final answer
    x = 457,731.03

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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.