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Finding the Fourth Proportional to 461,858.60, 637,352.46 and 257,903.84

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Solution

The fourth proportional to 461,858.60, 637,352.46 and 257,903.84 is: 355,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,858.60 : 637,352.46 = 257,903.84 : x
  2. Step 2: Convert to fraction form
    461,858.60/637,352.46 = 257,903.84/x
  3. Step 3: Cross multiply
    461,858.60x = 637,352.46 × 257,903.84
  4. Step 4: Simplify right side
    461,858.60x = 164,375,643,680.68
  5. Step 5: Solve for x
    x = 164,375,643,680.68/461,858.60
  6. Step 6: Final answer
    x = 355,900.37

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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.