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Finding the Fourth Proportional to 461,538, 636,932.16 and 260,334

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Solution

The fourth proportional to 461,538, 636,932.16 and 260,334 is: 359,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,538 : 636,932.16 = 260,334 : x
  2. Step 2: Convert to fraction form
    461,538/636,932.16 = 260,334/x
  3. Step 3: Cross multiply
    461,538x = 636,932.16 × 260,334
  4. Step 4: Simplify right side
    461,538x = 165,815,096,941.44
  5. Step 5: Solve for x
    x = 165,815,096,941.44/461,538
  6. Step 6: Final answer
    x = 359,266.40

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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.