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Finding the Fourth Proportional to 456,206, 629,551.20 and 252,253.36

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Solution

The fourth proportional to 456,206, 629,551.20 and 252,253.36 is: 348,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,206 : 629,551.20 = 252,253.36 : x
  2. Step 2: Convert to fraction form
    456,206/629,551.20 = 252,253.36/x
  3. Step 3: Cross multiply
    456,206x = 629,551.20 × 252,253.36
  4. Step 4: Simplify right side
    456,206x = 158,806,405,492.03
  5. Step 5: Solve for x
    x = 158,806,405,492.03/456,206
  6. Step 6: Final answer
    x = 348,102.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.