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Finding the Fourth Proportional to 795,096, 1,097,232.48 and 437,400

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Solution

The fourth proportional to 795,096, 1,097,232.48 and 437,400 is: 603,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,096 : 1,097,232.48 = 437,400 : x
  2. Step 2: Convert to fraction form
    795,096/1,097,232.48 = 437,400/x
  3. Step 3: Cross multiply
    795,096x = 1,097,232.48 × 437,400
  4. Step 4: Simplify right side
    795,096x = 479,929,486,752
  5. Step 5: Solve for x
    x = 479,929,486,752/795,096
  6. Step 6: Final answer
    x = 603,612

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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.