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Finding the Fourth Proportional to 492,827.60, 738,204.60 and 409,883.60

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Solution

The fourth proportional to 492,827.60, 738,204.60 and 409,883.60 is: 613,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,827.60 : 738,204.60 = 409,883.60 : x
  2. Step 2: Convert to fraction form
    492,827.60/738,204.60 = 409,883.60/x
  3. Step 3: Cross multiply
    492,827.60x = 738,204.60 × 409,883.60
  4. Step 4: Simplify right side
    492,827.60x = 302,577,958,984.56
  5. Step 5: Solve for x
    x = 302,577,958,984.56/492,827.60
  6. Step 6: Final answer
    x = 613,963.10

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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.