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Finding the Fourth Proportional to 529,863.16, 733,136.64 and 462,021.60

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Solution

The fourth proportional to 529,863.16, 733,136.64 and 462,021.60 is: 639,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,863.16 : 733,136.64 = 462,021.60 : x
  2. Step 2: Convert to fraction form
    529,863.16/733,136.64 = 462,021.60/x
  3. Step 3: Cross multiply
    529,863.16x = 733,136.64 × 462,021.60
  4. Step 4: Simplify right side
    529,863.16x = 338,724,963,431.42
  5. Step 5: Solve for x
    x = 338,724,963,431.42/529,863.16
  6. Step 6: Final answer
    x = 639,268.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.