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Finding the Fourth Proportional to 795,350, 1,097,583 and 437,654

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Solution

The fourth proportional to 795,350, 1,097,583 and 437,654 is: 603,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,350 : 1,097,583 = 437,654 : x
  2. Step 2: Convert to fraction form
    795,350/1,097,583 = 437,654/x
  3. Step 3: Cross multiply
    795,350x = 1,097,583 × 437,654
  4. Step 4: Simplify right side
    795,350x = 480,361,590,282
  5. Step 5: Solve for x
    x = 480,361,590,282/795,350
  6. Step 6: Final answer
    x = 603,962.52

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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.