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Finding the Fourth Proportional to 461,494, 692,314.18 and 195,256.50

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Solution

The fourth proportional to 461,494, 692,314.18 and 195,256.50 is: 292,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,494 : 692,314.18 = 195,256.50 : x
  2. Step 2: Convert to fraction form
    461,494/692,314.18 = 195,256.50/x
  3. Step 3: Cross multiply
    461,494x = 692,314.18 × 195,256.50
  4. Step 4: Simplify right side
    461,494x = 135,178,843,687.17
  5. Step 5: Solve for x
    x = 135,178,843,687.17/461,494
  6. Step 6: Final answer
    x = 292,915.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.