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Finding the Fourth Proportional to 482,964, 724,485.96 and 150,540

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Solution

The fourth proportional to 482,964, 724,485.96 and 150,540 is: 225,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,964 : 724,485.96 = 150,540 : x
  2. Step 2: Convert to fraction form
    482,964/724,485.96 = 150,540/x
  3. Step 3: Cross multiply
    482,964x = 724,485.96 × 150,540
  4. Step 4: Simplify right side
    482,964x = 109,064,116,418.40
  5. Step 5: Solve for x
    x = 109,064,116,418.40/482,964
  6. Step 6: Final answer
    x = 225,822.46

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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.