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Finding the Fourth Proportional to 702,822.24, 969,893.24 and 380,532.64

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Solution

The fourth proportional to 702,822.24, 969,893.24 and 380,532.64 is: 525,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,822.24 : 969,893.24 = 380,532.64 : x
  2. Step 2: Convert to fraction form
    702,822.24/969,893.24 = 380,532.64/x
  3. Step 3: Cross multiply
    702,822.24x = 969,893.24 × 380,532.64
  4. Step 4: Simplify right side
    702,822.24x = 369,076,035,135.35
  5. Step 5: Solve for x
    x = 369,076,035,135.35/702,822.24
  6. Step 6: Final answer
    x = 525,134.26

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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.