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Finding the Fourth Proportional to 461,766.84, 637,232.01 and 257,820.89

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Solution

The fourth proportional to 461,766.84, 637,232.01 and 257,820.89 is: 355,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,766.84 : 637,232.01 = 257,820.89 : x
  2. Step 2: Convert to fraction form
    461,766.84/637,232.01 = 257,820.89/x
  3. Step 3: Cross multiply
    461,766.84x = 637,232.01 × 257,820.89
  4. Step 4: Simplify right side
    461,766.84x = 164,291,720,768.53
  5. Step 5: Solve for x
    x = 164,291,720,768.53/461,766.84
  6. Step 6: Final answer
    x = 355,789.34

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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.