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Finding the Fourth Proportional to 263,966.25, 395,941.63 and 64,283.74

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Solution

The fourth proportional to 263,966.25, 395,941.63 and 64,283.74 is: 96,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,966.25 : 395,941.63 = 64,283.74 : x
  2. Step 2: Convert to fraction form
    263,966.25/395,941.63 = 64,283.74/x
  3. Step 3: Cross multiply
    263,966.25x = 395,941.63 × 64,283.74
  4. Step 4: Simplify right side
    263,966.25x = 25,452,608,798.10
  5. Step 5: Solve for x
    x = 25,452,608,798.10/263,966.25
  6. Step 6: Final answer
    x = 96,423.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.