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Finding the Fourth Proportional to 496,386.97, 744,432.53 and 180,770.06

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Solution

The fourth proportional to 496,386.97, 744,432.53 and 180,770.06 is: 271,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,386.97 : 744,432.53 = 180,770.06 : x
  2. Step 2: Convert to fraction form
    496,386.97/744,432.53 = 180,770.06/x
  3. Step 3: Cross multiply
    496,386.97x = 744,432.53 × 180,770.06
  4. Step 4: Simplify right side
    496,386.97x = 134,571,114,071.28
  5. Step 5: Solve for x
    x = 134,571,114,071.28/496,386.97
  6. Step 6: Final answer
    x = 271,101.22

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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.