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Finding the Fourth Proportional to 461,907.30, 637,419.75 and 257,952.54

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Solution

The fourth proportional to 461,907.30, 637,419.75 and 257,952.54 is: 355,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,907.30 : 637,419.75 = 257,952.54 : x
  2. Step 2: Convert to fraction form
    461,907.30/637,419.75 = 257,952.54/x
  3. Step 3: Cross multiply
    461,907.30x = 637,419.75 × 257,952.54
  4. Step 4: Simplify right side
    461,907.30x = 164,424,043,558.67
  5. Step 5: Solve for x
    x = 164,424,043,558.67/461,907.30
  6. Step 6: Final answer
    x = 355,967.62

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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.