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Finding the Fourth Proportional to 496,254.40, 744,381.60 and 180,721.60

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Solution

The fourth proportional to 496,254.40, 744,381.60 and 180,721.60 is: 271,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,254.40 : 744,381.60 = 180,721.60 : x
  2. Step 2: Convert to fraction form
    496,254.40/744,381.60 = 180,721.60/x
  3. Step 3: Cross multiply
    496,254.40x = 744,381.60 × 180,721.60
  4. Step 4: Simplify right side
    496,254.40x = 134,525,833,762.56
  5. Step 5: Solve for x
    x = 134,525,833,762.56/496,254.40
  6. Step 6: Final answer
    x = 271,082.40

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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.