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Finding the Fourth Proportional to 929,536, 1,282,759.68 and 505,600

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Solution

The fourth proportional to 929,536, 1,282,759.68 and 505,600 is: 697,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,536 : 1,282,759.68 = 505,600 : x
  2. Step 2: Convert to fraction form
    929,536/1,282,759.68 = 505,600/x
  3. Step 3: Cross multiply
    929,536x = 1,282,759.68 × 505,600
  4. Step 4: Simplify right side
    929,536x = 648,563,294,208
  5. Step 5: Solve for x
    x = 648,563,294,208/929,536
  6. Step 6: Final answer
    x = 697,728

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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.