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Finding the Fourth Proportional to 497,920.40, 746,880.60 and 182,409.20

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Solution

The fourth proportional to 497,920.40, 746,880.60 and 182,409.20 is: 273,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,920.40 : 746,880.60 = 182,409.20 : x
  2. Step 2: Convert to fraction form
    497,920.40/746,880.60 = 182,409.20/x
  3. Step 3: Cross multiply
    497,920.40x = 746,880.60 × 182,409.20
  4. Step 4: Simplify right side
    497,920.40x = 136,237,892,741.52
  5. Step 5: Solve for x
    x = 136,237,892,741.52/497,920.40
  6. Step 6: Final answer
    x = 273,613.80

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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.