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Finding the Fourth Proportional to 461,647.44, 637,085.58 and 257,697.52

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Solution

The fourth proportional to 461,647.44, 637,085.58 and 257,697.52 is: 355,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,647.44 : 637,085.58 = 257,697.52 : x
  2. Step 2: Convert to fraction form
    461,647.44/637,085.58 = 257,697.52/x
  3. Step 3: Cross multiply
    461,647.44x = 637,085.58 × 257,697.52
  4. Step 4: Simplify right side
    461,647.44x = 164,175,373,993.76
  5. Step 5: Solve for x
    x = 164,175,373,993.76/461,647.44
  6. Step 6: Final answer
    x = 355,629.34

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