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Finding the Fourth Proportional to 484,893.60, 727,340.40 and 274,941.60

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Solution

The fourth proportional to 484,893.60, 727,340.40 and 274,941.60 is: 412,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,893.60 : 727,340.40 = 274,941.60 : x
  2. Step 2: Convert to fraction form
    484,893.60/727,340.40 = 274,941.60/x
  3. Step 3: Cross multiply
    484,893.60x = 727,340.40 × 274,941.60
  4. Step 4: Simplify right side
    484,893.60x = 199,976,133,320.64
  5. Step 5: Solve for x
    x = 199,976,133,320.64/484,893.60
  6. Step 6: Final answer
    x = 412,412.40

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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.