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Finding the Fourth Proportional to 461,940.96, 637,918.80 and 436,782.24

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Solution

The fourth proportional to 461,940.96, 637,918.80 and 436,782.24 is: 603,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,940.96 : 637,918.80 = 436,782.24 : x
  2. Step 2: Convert to fraction form
    461,940.96/637,918.80 = 436,782.24/x
  3. Step 3: Cross multiply
    461,940.96x = 637,918.80 × 436,782.24
  4. Step 4: Simplify right side
    461,940.96x = 278,631,602,402.11
  5. Step 5: Solve for x
    x = 278,631,602,402.11/461,940.96
  6. Step 6: Final answer
    x = 603,175.79

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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.