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Finding the Fourth Proportional to 364,829.60, 547,244.40 and 264,519.20

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Solution

The fourth proportional to 364,829.60, 547,244.40 and 264,519.20 is: 396,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,829.60 : 547,244.40 = 264,519.20 : x
  2. Step 2: Convert to fraction form
    364,829.60/547,244.40 = 264,519.20/x
  3. Step 3: Cross multiply
    364,829.60x = 547,244.40 × 264,519.20
  4. Step 4: Simplify right side
    364,829.60x = 144,756,650,892.48
  5. Step 5: Solve for x
    x = 144,756,650,892.48/364,829.60
  6. Step 6: Final answer
    x = 396,778.80

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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.